03094nam 22006135 450 991029997830332120250609111214.03-319-06728-110.1007/978-3-319-06728-5(CKB)3710000000212210(SSID)ssj0001296785(PQKBManifestationID)11721686(PQKBTitleCode)TC0001296785(PQKBWorkID)11353454(PQKB)10409182(DE-He213)978-3-319-06728-5(MiAaPQ)EBC6311256(MiAaPQ)EBC5587392(Au-PeEL)EBL5587392(OCoLC)885245296(PPN)179922599(MiAaPQ)EBC1782967(EXLCZ)99371000000021221020140723d2014 u| 0engurnn|008mamaatxtccrFunctional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras /by Joseph Muscat1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XI, 420 p. 75 illus.) Bibliographic Level Mode of Issuance: Monograph3-319-06727-3 Introduction -- Distance -- Convergence and Continuity -- Completeness and Separability -- Connectedness -- Compactness -- Normed Spaces -- Continuous Linear Maps -- Main Examples -- Hilbert Spaces -- Banach Spaces -- Differentiation and Integration -- Banach Algebras -- Spectral Theory -- C∗-Algebras.This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.Functional analysisOperator theoryFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Functional analysis.Operator theory.Functional Analysis.Operator Theory.515.7Muscat Josephauthttp://id.loc.gov/vocabulary/relators/aut721601MiAaPQMiAaPQMiAaPQBOOK9910299978303321Functional analysis1410330UNINA