03253nam a22004695i 4500 978-0-8176-4932-6 DE-He213 20260521092032.0 cr nn 008mamaa 100301s2010 xxu| s |||| 0|eng d 9780817649326 99780817649326 10.1007/978-0-8176-4932-6 doi 515.724 23 Kantorovitz, Shmuel. author. Topics in Operator Semigroups [electronic resource] / by Shmuel Kantorovitz. Boston : Birkhäuser Boston, 2010. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Progress in Mathematics ; 281 General Theory -- Basic Theory -- The Semi-Simplicity Space for Groups -- Analyticity -- The Semigroup as a Function of its Generator -- Large Parameter -- Boundary Values -- Pre-Semigroups -- Integral Representations -- The Semi-Simplicity Space -- The Laplace-Stieltjes Space -- Families of Unbounded Symmetric Operators -- A Taste of Applications -- Analytic Families of Evolution Systems -- Similarity. The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics. This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications. Topics include: * The Hille-Yosida and Lumer-Phillips characterizations of semigroup generators * The Trotter-Kato approximation theorem * Kato's unified treatment of the exponential formula and the Trotter product formula * The Hille-Phillips perturbation theorem, and Stone's representation of unitary semigroups * Generalizations of spectral theory's connection to operator semigroups * A natural generalization of Stone's spectral integral representation to a Banach space setting With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups. MATHEMATICS. ALGEBRA. GROUP THEORY. OPERATOR THEORY. MATHEMATICS. OPERATOR THEORY. GROUP THEORY AND GENERALIZATIONS. ALGEBRA. SpringerLink (Online service) Springer eBooks Printed edition: 9780817649319 Progress in Mathematics ; 281 http://dx.doi.org/10.1007/978-0-8176-4932-6 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35757 35757 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515.724 2025-10-06 08:44:39 2025-10-06 ER