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Author : S. G. Krein
Publisher : American Mathematical Soc.
ISBN 13 : 0821831763
Total Pages : 390 pages
Book Rating : 4.8/5 (218 download)
Download or read book Interpolation of Linear Operators written by S. G. Krein and published by American Mathematical Soc.. This book was released on 2002-10-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034877013
Total Pages : 311 pages
Book Rating : 4.0/5 (348 download)
Download or read book Extension and Interpolation of Linear Operators and Matrix Functions written by I. Gohberg and published by Birkhäuser. This book was released on 2013-11-11 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 9783764325305
Total Pages : 305 pages
Book Rating : 4.3/5 (253 download)
Download or read book Extension and Interpolation of Linear Operators and Matrix Functions written by I. Gohberg and published by Birkhäuser. This book was released on 1990-10-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classicallossless inverse scattering (LIS) problem of network theory is to find all possible representations of a given Schur function s(z) (i. e. , a function which is analytic and contractive in the open unit disc D) in terms of an appropriately restricted class of linear fractional transformations. These linear fractional transformations corre spond to lossless, causal, time-invariant two port networks and from this point of view, s(z) may be interpreted as the input transfer function of such a network with a suitable load. More precisely, the sought for representation is of the form s(Z) = -{ -A(Z)SL(Z) + B(z)}{ -C(Z)SL(Z) + D(z)} -1 , (1. 1) where "the load" SL(Z) is again a Schur function and _ [A(Z) B(Z)] 0( ) (1. 2) Z - C(z) D(z) is a 2 x 2 J inner function with respect to the signature matrix This means that 0 is meromorphic in D and 0(z)* J0(z) ::5 J (1. 3) for every point zED at which 0 is analytic with equality at almost every point on the boundary Izi = 1. A more general formulation starts with an admissible matrix valued function X(z) = [a(z) b(z)] which is one with entries a(z) and b(z) which are analytic and bounded in D and in addition are subject to the constraint that, for every n, the n x n matrix with ij entry equal to X(Zi)J X(Zj )* i,j=l, . . .
Author : Ronald A. DeVore
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (46 download)
Download or read book Interpolation of linear operators on Sobolev spaces written by Ronald A. DeVore and published by . This book was released on 1978 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Colin Bennett
Publisher : Academic Press
ISBN 13 : 0080874487
Total Pages : 489 pages
Book Rating : 4.0/5 (88 download)
Download or read book Interpolation of Operators written by Colin Bennett and published by Academic Press. This book was released on 1988-04-01 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Author : Albrecht Pietsch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645969
Total Pages : 877 pages
Book Rating : 4.8/5 (176 download)
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Author :
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (916 download)
Download or read book Unbounded Linear Operators on Interpolation Spaces written by and published by . This book was released on 2008 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034886152
Total Pages : 308 pages
Book Rating : 4.0/5 (348 download)
Download or read book Time-Variant Systems and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Traian Ceauşu
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)
Download or read book On an abstract method of interpolation of linear operators written by Traian Ceauşu and published by . This book was released on 1981 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hari Bercovic
Publisher : Birkhäuser
ISBN 13 : 3034884222
Total Pages : 311 pages
Book Rating : 4.0/5 (348 download)
Download or read book Operator Theory and Interpolation written by Hari Bercovic and published by Birkhäuser. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.
Author : Svante Janson
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (185 download)
Download or read book On Interpolation of Multi-linear Operators written by Svante Janson and published by . This book was released on 1986 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Traian Ceauşu
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)
Download or read book On interpolation of linear operators on Lorentz spaces written by Traian Ceauşu and published by . This book was released on 1979 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Bergh
Publisher : Springer Science & Business Media
ISBN 13 : 3642664512
Total Pages : 218 pages
Book Rating : 4.6/5 (426 download)
Download or read book Interpolation Spaces written by J. Bergh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.
Author : Cornelius Lanczos
Publisher : Courier Corporation
ISBN 13 : 9780486680354
Total Pages : 604 pages
Book Rating : 4.6/5 (83 download)
Download or read book Linear Differential Operators written by Cornelius Lanczos and published by Courier Corporation. This book was released on 1997-01-01 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034891628
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topics in Operator Theory and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Thamban Nair
Publisher : World Scientific
ISBN 13 : 9812835652
Total Pages : 264 pages
Book Rating : 4.8/5 (128 download)
Download or read book Linear Operator Equations written by M. Thamban Nair and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Author : Alessandra Lunardi
Publisher : Springer
ISBN 13 : 8876426388
Total Pages : 208 pages
Book Rating : 4.8/5 (764 download)
Download or read book Interpolation Theory written by Alessandra Lunardi and published by Springer. This book was released on 2018-05-05 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
