Includes contributions by a number of the world's leading specialists in functional analysis and operator theory
Presents some of the latest developments in operator theory
Introduces several active research areas within operator theory and its applications
Part of the book series: Trends in Mathematics (TM)
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Table of contents (23 chapters)
Matrix and Operator Inequalities
Inequalities Related to Types of Operators
About this book
Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development.
A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given.
The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.
- Operator Inequality
- Norm Inequality
- Toeplitz Operator
- Vector Lattice
- Operator Mean
- Burkholder-Davis-Gundy Inequality
- Ando-Hiai Inequality
- Gruss--Landau Inequality
- First Eigenvalue
- Birman-Hardy-Rellich-type Inequality
- Hardy-Littlewood Inequality
- Approximate Orthogonality
- Relative Operator Entropy
- Banach-Stone Theorem
- Bishop-Phelps-Bollobás Theorem
- Symmetries of C*-algebras
- Moore-Penrose Inverse
- Wold Type Decomposition
- Birkhoff--James Orthogonality
Editors and Affiliations
Department of Mathematical Sciences, Kent State University, Kent, USA
Richard M. Aron
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Mohammad Sal Moslehian
Department of Mathematics, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates
Ilya M. Spitkovsky
Department of Mathematics, Drexel University, Philadelphia, USA
Hugo J. Woerdeman
About the editors
Richard M. Aron is Professor Emeritus of Mathematics at Kent State University, Ohio. Previously, he was a Lecturer and Fellow at Trinity College, University of Dublin. His research interests center on non-linear complex and functional analysis. He is an Editor in Chief of the Journal of Mathematical Analysis and Applications and is on the Editorial Board of the Mathematical Proceedings of the Royal Irish Academy and of RACSAM (Mathematical Journal of the Spanish Royal Academy of Sciences). He has been a Fulbright Fellow on several occasions (Bogota-Columbia, Buenos Aires-Argentina, and Dublin-Ireland).
Mohammad Sal Moslehian is a Professor of Mathematics at the Ferdowsi University of Mashhad, an invited member of the Academy of Sciences of Iran, and the President of the Iran. Math. Soc. His research concerns operator algebras, Hilbert C*-modules, in particular, operator and norm inequalities. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities in England, Sweden, and Japan. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhäuser/Springer.
Ilya M. Spitkovsky is a Professor of Mathematics at the New York University Abu Dhabi campus (NYUAD) since 2013, having worked at the College of William and Mary for almost 25 years prior to that. His research is on the spectral theory of operators, numerical ranges and their generalizations, Wiener-Hopf and convolution type equations, and their applications. He is an author of three research monographs and served as an editor of eight more.
Hugo J. Woerdeman received his Ph.D. from the Vrije Universiteit in Amsterdam, The Netherlands in 1989. In that same year, he was appointed assistant professor at the College of William and Mary. During his tenure there he received a 1995 Alumni Fellowship Award for "Excellence in Teaching", and he was awarded the title of Margaret L. Hamilton Professor of Mathematics. In December 2004 he joined Drexel University as Professor and Department Head. Over the years, he has had long-term stays at the University of California, San Diego, the George Washington University, Ecole Nationale Superieure des Techniques Avancees, Katholieke Universiteit Leuven, Universite Catholique de Louvain, Princeton University, and the University of Waterloo.
Book Title: Operator and Norm Inequalities and Related Topics
Editors: Richard M. Aron, Mohammad Sal Moslehian, Ilya M. Spitkovsky, Hugo J. Woerdeman
Series Title: Trends in Mathematics
Publisher: Birkhäuser Cham
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-02103-9Published: 11 August 2022
Softcover ISBN: 978-3-031-02106-0Due: 25 August 2023
eBook ISBN: 978-3-031-02104-6Published: 10 August 2022
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XIII, 822
Number of Illustrations: 5 b/w illustrations, 4 illustrations in colour
Topics: Operator Theory