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The Wonders of the Cesàro Operator

By (author) Javad Mashreghi, By (author) William T. Ross

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This is a survey of the classical CesÃ ro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from CesÃ ro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the CesÃ ro operator. Along the way, various normality classes of the CesÃ ro operator are covered, as well as invariant subspaces and semigroups. Recent and ongoing work concerning generalizations of the CesÃ ro operator is also included. The book also features detailed endnotes for each chapter with historical references and suggestions for further reading.Â

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