Ritt operators and their functional calculus Christian Le Merdy

Format:

Book

Author/Creator:

Le Merdy, Christian, author.

Series:

Operator theory, advances and applications ; 2296-4878 v. 312

Operator Theory: Advances and Applications 2296-4878 volume 312

Language:

English

Subjects (All):

Operator theory.

Banach spaces.

Physical Description:

1 online resource

illustration

Edition:

1st ed.

Place of Publication:

Cham Birkhäuser 2026

Summary:

This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties. Ritt operators and their functional calculus have natural connections with various topics such as semigroups and sectorial operators. However, in this monograph, Ritt operators are considered on their own right. A special emphasis is given to Ritt operators acting on either Hilbert spaces, Lp-spaces or non-commutative Lp-spaces. Researchers wishing to familiarize themselves with Ritt operators and their properties will find this book a valuable resource. A number of appendices are included, providing necessary background information and making the topic accessible to a wide mathematical audience

Contents:

Chapter 1. Some operator theory on Banach spaces

Chapter 2. Basics on Ritt operators

Chapter 3. Extensions of the Dunford-Riesz functional calculus

Chapter 4. Constructions of Ritt operators and examples

Chapter 5. R-Ritt operators

Chapter 6. Some decompositions of bounded holomorphic functions

Chapter 7. H∞-functional calculus

Chapter 8. Classes of Ritt operators with a bounded H∞-functional calculus

Chapter 9. Square functions

Chapter 10. Similarities and dilations

Chapter 11. Maximal inequalities

Chapter 12. Discrete subordination

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed May 27, 2026)

Other Format:

Print version Le Merdy, Christian Ritt Operators and Their Functional Calculus

ISBN:

9783032142429

3032142423

OCLC:

1592962563

Access Restriction:

Restricted for use by site license