Background
Kantorovitz, Shmuel was born on September 17, 1935. Son of Yitzhak Yaacov and Shoshana Kantorovitz.
(This book presents some aspects of the theory of semigrou...)
This book presents some aspects of the theory of semigroups of operators, mostly from the point of view of its interaction withspectral theory. In order to make it self-contained, a concise description of the basic theory of semigroups, with complete proofs, is included in Part I. Some of the author's recent results, such as the construction of the Hille-Yosida space for general operators, the semi-simplicity manifold, and a Taylor formula for semigroups as functions of their generator, are also included in Part I. Part II describes recent generalizations (most of them in bookform for the first time), including pre-semigroups, semi-simplicity manifolds in situations more general than that considered in Part I, semigroups of unbounded symmetric operators, and an analogous result on "local cosine families" and semi-analytic vectors. It is hoped that this book will inspire more research in this field. This book will be of particular interest to graduate students and researchers working operator theory and its applications.
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Kantorovitz, Shmuel was born on September 17, 1935. Son of Yitzhak Yaacov and Shoshana Kantorovitz.
Master of Science, Hebrew University, Jerusalem, 1956. Doctor of Philosophy, University of Minnesota, 1962.
Instructor Princeton University, New Jersey, 1962—1963. Member Institute Advanced Study, Princeton, 1963—1964. Assistant professor Yale University, New Haven, 1964—1967.
Associate professor University Illinois, Chicago, 1967—1970, professor, 1970—1978. Professor mathematics Bar-Ilan University, Ramat-Gan, Israel, since 1972, chairman department mathematics, 1977—1979, 1985—1987.
(This book presents some aspects of the theory of semigrou...)
Member of American Mathematics Society.
Married Ita Braude Kantorovitz, August 15, 1960. Children: Peninah, Isaiah-Pinchas, Miriam-Ruth.