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Advanced Techniques with Block Matrices of Operators

E-BookPDF1 - PDF WatermarkE-Book
218 Seiten
Englisch
Springer International Publishingerschienen am28.08.20242024
This book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems. Operator matrices have garnered attention for their applications in quantum information and computing theories.

Each chapter concludes with a diverse set of exercises and problems for readers, along with references to relevant literature. Some problems pose open questions, while others challenge readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR58,84
E-BookPDF1 - PDF WatermarkE-Book
EUR58,84

Produkt

KlappentextThis book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems. Operator matrices have garnered attention for their applications in quantum information and computing theories.

Each chapter concludes with a diverse set of exercises and problems for readers, along with references to relevant literature. Some problems pose open questions, while others challenge readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory.
Details
Weitere ISBN/GTIN9783031645464
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2024
Erscheinungsdatum28.08.2024
Auflage2024
ReiheFrontiers in Mathematics
Seiten218 Seiten
SpracheEnglisch
Dateigrösse5527 Kbytes
IllustrationenX, 218 p. 1 illus.
Artikel-Nr.17489608
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- 1 Matrices and Hilbert Space Operators.- 2 Block Matrices of Operators.- 3 Operator Monotone Functions and Positive Maps.- 4 Operator Variance and Covariance.- 5 Nonlinear Positive Maps.- Bibliography.mehr

Autor

M. S. Moslehian is a professor of Mathematics at Ferdowsi University of Mashhad, a member of the Academy of Sciences of Iran, a TWAS fellow, and the president of the Iran. Math. Soc. His research focuses on functional analysis, operator theory, and matrix analysis. He has served as a senior associate at ICTP (Italy) and as a visiting professor at various universities in England, Sweden, and Japan. He is also the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" published by Birkhäuser/Springer.

Hiroyuki Osaka is a professor in the Department of Mathematical Sciences at Ritsumeikan University, Japan. His research concerns operator algebras, operator theory, and quantum information theory. He was a postdoctoral researcher at Fields Institute (Canada), an assistant research professor at Copenhagen University (Denmark), an associate professor at Ryukyu University (Japan), and a visiting professor at several universities in the USA, India, and Poland. He is an editor of "Adv. Oper. Theory" published by Birkhäuser/Springer and "Sci. Math. Jpn." published by Inst. Soc. Math. Sci.
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