Operator Theory And Interpolation PDF Download
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Author | : Hari Bercovic |
Publisher | : Birkhäuser |
Total Pages | : 311 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034884222 |
Download Operator Theory and Interpolation Book in PDF, ePub and Kindle
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 | : Colin Bennett |
Publisher | : Academic Press |
Total Pages | : 489 |
Release | : 1988-04-01 |
Genre | : Mathematics |
ISBN | : 0080874487 |
Download Interpolation of Operators Book in PDF, ePub and Kindle
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 | : Hari Bercovici |
Publisher | : Birkhauser |
Total Pages | : 309 |
Release | : 2000-01-01 |
Genre | : Operator theory |
ISBN | : 9780817662295 |
Download Operator Theory and Interpolation Book in PDF, ePub and Kindle
"Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory." "The articles in this volume originated from the IWOTA conference held at Indiana University, Bloomington, in June 1996. They represent most of the areas that were discussed at the workshop with some emphasis on modern interpolation theory, a topic which has seen much progress in recent years."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author | : Alessandra Lunardi |
Publisher | : Springer |
Total Pages | : 199 |
Release | : 2018-05-05 |
Genre | : Mathematics |
ISBN | : 8876426388 |
Download Interpolation Theory Book in PDF, ePub and Kindle
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.
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 240 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034891628 |
Download Topics in Operator Theory and Interpolation Book in PDF, ePub and Kindle
Author | : A. Gheondea |
Publisher | : Birkhäuser |
Total Pages | : 225 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 303488575X |
Download Operator Extensions, Interpolation of Functions and Related Topics Book in PDF, ePub and Kindle
Since 1976 the Institute of Mathematics of the Romanian Academy (formerly the Department of Mathematics of INCREST) and the Faculty of Mathematics (formerly the Faculty of Sciences) of the University ofTimi~oara have organized several Con ferences on Operator Theory. These Conferences were held yearly in Timi~oara (or in Timi~oara and Herculane) and beginning with 1985 they were held in Bucharest (1985,1986), in Timi~oara (1988) and in Predeal (1990). At the beginning, these Conferences answered the need of a part of the Romanian Mathematical Community ofexploring other forms of survival, after the dissolution of the Institute of Mathematics in 1975. Soon, these meetings evolved to International Conferences with a broad participation and where important results in Operator Theory and Operator Algebras and their interplay with Complex Function Theory, Differential Equations, Mathematical Physics, System Theory, etc. were presented. The 14th Conference on Operator Theory was held between June 1st and June 5th 1992, at the University ofTimi~oara. It was partially supported by the Institute of Mathematics of the Romanian Academy and by the Faculty of Mathematics of the University ofTimi~oara. Another important contribution towards covering the costs of this meeting came from The Soros Foundation for an Open Society. Without this generous help the organizing of this event would be impossible. Since 1980, the Proceedings of OT Conferences were published by Birkhauser Verlag in the series Operator Theory: Advances and Applications. The abstracts of the talks were collected in the Conference Report, published by the University of Timi~oara.
Author | : Harry Dym |
Publisher | : Springer Science & Business Media |
Total Pages | : 526 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9783764357238 |
Download Topics In Interpolation Theory Book in PDF, ePub and Kindle
Vladimir Petrovich Potapov, as remembered by colleagues, friends and former students.- On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc.- On tangential interpolation in reproducing kernel Hilbert modules and applications.- Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions.- The indefinite metric in the Schur interpolation problem for analytic functions, IV.- Bitangential interpolation for upper triangular operators.- Bitangential interpolation for upper triangular operators when the Pick operator is strictly positive.- Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class.- On recovering a multiplicative integral from its modulus.- On Schur functions and Szegö orthogonal polynomials.- Hilbert spaces of entire functions as a J theory subject.- On transformations of Potapov's fundamental matrix inequality.- An abstract interpolation problem and the extension theory of isometric operators.- On the theory of matrix-valued functions belonging to the Smirnov class.- Integral representation of function of class Ka.- On the theory of entire matrix-functions of exponential type.- Analogs of Nehari and Sarason theorems for character-automorphic functions and some related questions.- The Blaschke-Potapov factorization theorem and the theory of nonselfadjoint operators.- Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner functions.- On a criterion of positive definiteness.- Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case).- Weyl-Titchmarsh functions of the canonical periodical system of differential equations.- On boundary values of functions regular in a disk.
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034886152 |
Download Time-Variant Systems and Interpolation Book in PDF, ePub and Kindle
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 229 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034885628 |
Download New Aspects in Interpolation and Completion Theories Book in PDF, ePub and Kindle
This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Max imum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpola tion for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the inter polation conditions appear from two sides. The state space theory of time varying systems play an important role.
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 311 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3034877013 |
Download Extension and Interpolation of Linear Operators and Matrix Functions Book in PDF, ePub and Kindle