The Wonders of the Cesàro Operator
Springer International Publishing (Verlag)
978-3-032-08732-4 (ISBN)
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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The book also features detailed endnotes for each chapter with historical references and suggestions for further reading.
William T. Ross: Prof Ross is the Richardson Professor of Mathematics at the University of Richmond and is the author of over research 80 papers in mathematics and 8 research monographs. He is also an editor for Concrete Operators, Canadian Mathematical Bulletin, and the Canadian Journal of Mathematics.
Professor Javad Mashreghi is the Canada Research Chair in Function Spaces and their Applications at Laval University. He has served two terms as President of the Canadian Mathematical Society and is a Fellow of the American Mathematical Society, the Canadian Mathematical Society, and the Fields Institute. He has authored more than 150 research papers in mathematics and over 15 textbooks and monographs, many of which have become influential references in analysis and operator theory.
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.
| Erscheinungsdatum | 29.11.2025 |
|---|---|
| Reihe/Serie | Operator Theory: Advances and Applications |
| Zusatzinfo | XXIV, 274 p. 7 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Cesaro operator • Complex Analysis • Hardy Spaces • invariant subspaces • operator theory • spectral properties |
| ISBN-10 | 3-032-08732-5 / 3032087325 |
| ISBN-13 | 978-3-032-08732-4 / 9783032087324 |
| Zustand | Neuware |
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