The Wonders of the Cesàro Operator (Operator Theory: Advances and Applications)

Mashreghi, Javad/ Ross, William T.

Birkhauser（2025/12発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9783032087324

Full Description

This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the Cesàro operator.

Along the way, various normality classes of the Cesàro operator are covered, as well as invariant subspaces and semigroups. Recent and ongoing work concerning generalizations of the Cesàro operator is also included.

The book also features detailed endnotes for each chapter with historical references and suggestions for further reading. 

Contents

Chapter.1.Ernesto Ces`aro.- Chapter 2.Ces`aro Summability,- Chapter 3.The Ces`aro Matrix.- Chapter 4.The Ces`aro Operator on the Space of Analytic Functions.- Chaper.5.The Ces`aro Operator on the Hardy Space.- Chapter 6.Normality Classes and the Ces`aro Operator.- Chapter 7 Fredholm Theory for the Ces`aro Operator.- Chapter 8.The Ces`aro Operator and Semigroups.- Chapter 9.Invariant Subspaces of the Ces`aro Operator.- Chapter 10.The Continuous Ces`aro Operators.- Chapter.11.Generalized Ces`aro Operators.-References.-Author Index.-Subject Index.