The Wonders of the Cesàro Operator / by Javad Mashreghi, William T. Ross.

Format:

Book

Author/Creator:

Mashreghi, Javad.

Series:

Operator Theory: Advances and Applications, 2296-4878 ; 311

Language:

English

Subjects (All):

Operator theory.

Functions of complex variables.

Operator Theory.

Functions of a Complex Variable.

Local Subjects:

Operator Theory.

Functions of a Complex Variable.

Physical Description:

1 online resource (410 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2026.

Summary:

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 The book also features detailed endnotes for each chapter with historical references and suggestions for further reading.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

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-032-08733-3

9783032087331

OCLC:

1574825719