An Indefinite Excursion in Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Indefinite Excursion in Operator Theory write by Aurelian Gheondea. This book was released on 2022-07-28. An Indefinite Excursion in Operator Theory available in PDF, EPUB and Kindle. This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
An Indefinite Excursion in Operator Theory
An Indefinite Excursion in Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Indefinite Excursion in Operator Theory write by Aurelian Gheondea. This book was released on 2022-07-28. An Indefinite Excursion in Operator Theory available in PDF, EPUB and Kindle. Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
Discrete Quantum Walks on Graphs and Digraphs
Discrete Quantum Walks on Graphs and Digraphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Quantum Walks on Graphs and Digraphs write by Chris Godsil. This book was released on 2022-12-31. Discrete Quantum Walks on Graphs and Digraphs available in PDF, EPUB and Kindle. Explore the mathematics arising from discrete quantum walks in this introduction to a rapidly developing area.
Modern Trends in Algebra and Representation Theory
Modern Trends in Algebra and Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Trends in Algebra and Representation Theory write by David Jordan. This book was released on 2023-08-17. Modern Trends in Algebra and Representation Theory available in PDF, EPUB and Kindle. Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Elliptic Regularity Theory by Approximation Methods
Elliptic Regularity Theory by Approximation Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic Regularity Theory by Approximation Methods write by Edgard A. Pimentel. This book was released on 2022-06-30. Elliptic Regularity Theory by Approximation Methods available in PDF, EPUB and Kindle. Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
