02613nam 2200553 450 991049516420332120230508104935.03-030-73872-810.1007/978-3-030-73872-3(CKB)4100000011994691(DE-He213)978-3-030-73872-3(MiAaPQ)EBC6689007(Au-PeEL)EBL6689007(PPN)257355847(EXLCZ)99410000001199469120220416d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierExtension problems and stable ranks a space odyssey /Raymond Mortini, Rudolf Rupp1st ed. 2021.Cham, Switzerland :Birkhäuser,[2021]©20211 online resource (XXII, 2176 p. 151 illus. in color.)3-030-73871-X Includes bibliographical references and index.Part I. Topological structures and Banach algebras -- Part II. Algebraic structures -- Part III. The Appendix -- Bibliography -- Index.This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.Funcions de variables complexesthubAnàlisi funcionalthubFunctions of complex variablesFunctional analysisLlibres electrònicsthubFuncions de variables complexesAnàlisi funcionalFunctions of complex variables.Functional analysis.515.9Mortini Raymond853408Rupp RudolfMiAaPQMiAaPQMiAaPQBOOK9910495164203321Extension Problems and Stable Ranks1905567UNINA