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Banach Function Spaces Of Vector Valued Functions
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Book Synopsis Banach Spaces of Vector-Valued Functions by : Pilar Cembranos
Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos and published by Springer. This book was released on 1997-11-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
Book Synopsis Narrow Operators on Function Spaces and Vector Lattices by : Mikhail Popov
Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.
Book Synopsis Representation Theorems on Banach Function Spaces by : Neil E. Gretsky
Download or read book Representation Theorems on Banach Function Spaces written by Neil E. Gretsky and published by American Mathematical Soc.. This book was released on 1968 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Function Spaces, Proceedings Of The Sixth Conference by : Ryszard Grzaslewicz
Download or read book Function Spaces, Proceedings Of The Sixth Conference written by Ryszard Grzaslewicz and published by World Scientific. This book was released on 2003-04-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.
Download or read book Function Spaces written by K. Jarosz and published by CRC Press. This book was released on 1995-07-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the proceedings from the Second Conference on Function Spaces, this work details known results and fresh discoveries on a wide range of topics concerning function spaces. It covers advances in areas such as spaces and algebras of analytic functions, Lp-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Book Synopsis Vector-valued Laplace Transforms and Cauchy Problems by : Wolfgang Arendt
Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .
Book Synopsis Function Spaces by : Ryszard Grz??lewicz
Download or read book Function Spaces written by Ryszard Grz??lewicz and published by World Scientific. This book was released on 2003 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.
Book Synopsis Introduction to Tensor Products of Banach Spaces by : Raymond A. Ryan
Download or read book Introduction to Tensor Products of Banach Spaces written by Raymond A. Ryan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Book Synopsis Function Spaces by : Krzysztof Jarov
Download or read book Function Spaces written by Krzysztof Jarov and published by CRC Press. This book was released on 1991-12-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Book Synopsis Vector and Operator Valued Measures and Applications by : Don H. Tucker
Download or read book Vector and Operator Valued Measures and Applications written by Don H. Tucker and published by Academic Press. This book was released on 2014-05-10 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Book Synopsis Martingales in Banach Spaces by : Gilles Pisier
Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Book Synopsis Operator-Valued Measures and Integrals for Cone-Valued Functions by : Walter Roth
Download or read book Operator-Valued Measures and Integrals for Cone-Valued Functions written by Walter Roth and published by Springer Science & Business Media. This book was released on 2009-02-05 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.
Book Synopsis Function Spaces by : Julian Musielak
Download or read book Function Spaces written by Julian Musielak and published by B. G. Teubner Gmbh. This book was released on 1988 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Ranges II by : F. F. Bonsall
Download or read book Numerical Ranges II written by F. F. Bonsall and published by Cambridge University Press. This book was released on 1973-08-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The landlady, landlord, cat, trap, and cheese all take credit for catching the long-tailed rat who is really the only one who knows the truth of the matter.
Book Synopsis Real and Functional Analysis by : Serge Lang
Download or read book Real and Functional Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
Book Synopsis Isometries in Banach Spaces by : Richard J. Fleming
Download or read book Isometries in Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2007-11-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
Book Synopsis Vector Space Measures and Applications I by : R.M. Aron
Download or read book Vector Space Measures and Applications I written by R.M. Aron and published by Springer. This book was released on 2006-11-15 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt:
