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Operator and norm inequalities and related topics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Operator and norm inequalities and related topicsedited by Richard M. Aron ... [et al.].
其他作者:	Aron, Richard M.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xiii, 822 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Operator theory.
電子資源:	https://doi.org/10.1007/978-3-031-02104-6
ISBN:	9783031021046$q(electronic bk.)

Operator and norm inequalities and related topics
Operator and norm inequalities and related topics[electronic resource] /edited by Richard M. Aron ... [et al.]. - Cham :Springer International Publishing :2022. - xiii, 822 p. :ill. (some col.), digital ;24 cm. - Trends in mathematics,2297-024X. - Trends in mathematics..

Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. 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.

ISBN: 9783031021046$q(electronic bk.)

Standard No.: 10.1007/978-3-031-02104-6doiSubjects--Topical Terms:

229156
Operator theory.

LC Class. No.: QA329 / .O64 2022

Dewey Class. No.: 515.724

Operator and norm inequalities and related topics
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520 $a Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. 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.
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