Approximation of Vector Valued Functions

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Publisher : Elsevier
ISBN 13 : 0080871364
Total Pages : 235 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Approximation of Vector Valued Functions by :

Download or read book Approximation of Vector Valued Functions written by and published by Elsevier. This book was released on 2011-10-10 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.

Approximation Properties of Vector Valued Functions

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (216 download)

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Book Synopsis Approximation Properties of Vector Valued Functions by : Robert Creighton Buck

Download or read book Approximation Properties of Vector Valued Functions written by Robert Creighton Buck and published by . This book was released on 1973 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory, Topology, TheoremsWeierstrass theorem, Modules(Mathematics)Let M be a closed C(X) submodule of the space C(X:E) of all bounded continuous functions on the compact space X with values in the normed linear space E. Then, it is shown that the linear functionals phi on C(X:E) that are extreme in the set of those which annihilate M and have norm at most one are exactly those of the form phi(g) = L(g(x sub 0)), where x sub 0 is a point of X and L is an extreme point of the set of functionals of norm one on E that annihilate the subspace M(x sub 0)=(all f(x sub 0) for f epsilon M). The proof uses various forms of the Weierstrass approximation theorem for modules. (Author).

Vector-Valued Functions and their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401580308
Total Pages : 171 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Vector-Valued Functions and their Applications by : Chuang-Gan Hu

Download or read book Vector-Valued Functions and their Applications written by Chuang-Gan Hu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables. The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included. This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.

Approximation of Vector-valued Functions

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Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Approximation of Vector-valued Functions by : Lee W. Johnson

Download or read book Approximation of Vector-valued Functions written by Lee W. Johnson and published by . This book was released on 1967 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation of vector valued functions

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Approximation of vector valued functions by : João B. Prolla

Download or read book Approximation of vector valued functions written by João B. Prolla and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation by Vector-valued Functions

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Publisher :
ISBN 13 : 9780798811583
Total Pages : 10 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Approximation by Vector-valued Functions by : M. Brannigan

Download or read book Approximation by Vector-valued Functions written by M. Brannigan and published by . This book was released on 1977 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators

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Author :
Publisher : World Scientific
ISBN 13 : 1783263040
Total Pages : 168 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators by : Nira Dyn

Download or read book Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators written by Nira Dyn and published by World Scientific. This book was released on 2014-10-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.

An Approximation Theorem for Vector-valued Functions

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis An Approximation Theorem for Vector-valued Functions by : M. Kisielewicz

Download or read book An Approximation Theorem for Vector-valued Functions written by M. Kisielewicz and published by . This book was released on 1980 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Measures

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Publisher : American Mathematical Soc.
ISBN 13 : 0821815156
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Vector Measures by : Joseph Diestel

Download or read book Vector Measures written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 1977-06-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.

On the Ideal Structure and Approximation Properties of Algebras of Continuous B-algebra-valued Functions

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Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis On the Ideal Structure and Approximation Properties of Algebras of Continuous B-algebra-valued Functions by : Jorma Arhippainen

Download or read book On the Ideal Structure and Approximation Properties of Algebras of Continuous B-algebra-valued Functions written by Jorma Arhippainen and published by . This book was released on 1987 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rational Approximations from Power Series of Vector-valued Meromorphic Functions

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Rational Approximations from Power Series of Vector-valued Meromorphic Functions by : Avram Sidi

Download or read book Rational Approximations from Power Series of Vector-valued Meromorphic Functions written by Avram Sidi and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Measure Theory

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Publisher : Elsevier
ISBN 13 : 0080533094
Total Pages : 1633 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Measure Theory by : E. Pap

Download or read book Handbook of Measure Theory written by E. Pap and published by Elsevier. This book was released on 2002-10-31 with total page 1633 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.

Approximation Theory and Functional Analysis

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Publisher : Elsevier
ISBN 13 : 0080871461
Total Pages : 459 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Approximation Theory and Functional Analysis by :

Download or read book Approximation Theory and Functional Analysis written by and published by Elsevier. This book was released on 1979-01-01 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theory and Functional Analysis

Linear Spaces and Approximation / Lineare Räume und Approximation

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Publisher : Birkhäuser
ISBN 13 : 3034871805
Total Pages : 641 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear Spaces and Approximation / Lineare Räume und Approximation by : Butzer

Download or read book Linear Spaces and Approximation / Lineare Räume und Approximation written by Butzer and published by Birkhäuser. This book was released on 2013-03-08 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Oberwolfach conference books was initiated by Birkhauser Publishers in 1964 with the proceedings of the conference 'On Approximation Theory', conducted by P. L. Butzer (Aachen) and J. Korevaar (Amsterdam). Since that auspicious beginning, others of the Oberwolfach proceedings have appeared in Birkhauser's ISNM series. The present volume is the fifth * edited at Aachen in collaboration with an external institution. It once again ad dresses itself to the most recent results on approximation and operator theory, and includes 47 of the 48 lectures presented at Oberwolfach, as well as five articles subsequently submitted by V. A. Baskakov (Moscow), H. Esser (Aachen), G. Lumer (Mons), E. L. Stark (Aachen) and P. M. Tamrazov (Kiev). In addition, there is a section devoted to new and unsolved problems, based upon two special problem sessions augmented by later communications from the participants. Corresponding to the nature of the conference, the aim of the organizers was to solicit both specialized and survey papers, ranging in the broad area of classical and functional analysis, from approximation and interpolation theory to Fourier and harmonic analysis, and to the theory of function spaces and operators. The papers were supplemented by lectures on fields represented for the first time in our series of Oberwolfach Conferences, so for example, complex function theory or probability and sampling theory.

Functional Analysis, Holomorphy, and Approximation Theory

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Publisher : Springer
ISBN 13 : 3540385290
Total Pages : 647 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Functional Analysis, Holomorphy, and Approximation Theory by : S. Machado

Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by S. Machado and published by Springer. This book was released on 2006-11-15 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariate Approximation Theory

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Publisher : SIAM
ISBN 13 : 9781611970197
Total Pages : 74 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Multivariate Approximation Theory by : E. W. Cheney

Download or read book Multivariate Approximation Theory written by E. W. Cheney and published by SIAM. This book was released on 1986-01-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written. This monograph is written for a broad audience of computational mathematicians and statisticians concerned with the development of algorithms or the derivation of approximations from linear projections, of which the interpolating operators are an important example. As an aid to both researchers and students, a bibliography of more than 200 titles is included.

Approximation Theory in Tensor Product Spaces

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Publisher : Springer
ISBN 13 : 3540397418
Total Pages : 164 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Approximation Theory in Tensor Product Spaces by : William A. Light

Download or read book Approximation Theory in Tensor Product Spaces written by William A. Light and published by Springer. This book was released on 2006-11-14 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: