001447472 000__ 03251cam\a2200517Ii\4500
001447472 001__ 1447472
001447472 003__ OCoLC
001447472 005__ 20230310004119.0
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001447472 020__ $$a9783030964337$$q(electronic bk.)
001447472 020__ $$a3030964337$$q(electronic bk.)
001447472 020__ $$z9783030964320$$q(print)
001447472 0247_ $$a10.1007/978-3-030-96433-7$$2doi
001447472 035__ $$aSP(OCoLC)1329434568
001447472 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dOCLCQ
001447472 049__ $$aISEA
001447472 050_4 $$aQA251.5
001447472 08204 $$a512/.46$$223/eng/20220614
001447472 1001_ $$aFragoulopoulou, Maria,$$eauthor.
001447472 24510 $$aGeneralized B*-algebras and applications /$$cMaria Fragoulopoulou, Atsushi Inoue, Martin Weigt, Ioannis Zarakas.
001447472 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001447472 300__ $$a1 online resource (xii, 241 pages).
001447472 336__ $$atext$$btxt$$2rdacontent
001447472 337__ $$acomputer$$bc$$2rdamedia
001447472 338__ $$aonline resource$$bcr$$2rdacarrier
001447472 4901_ $$aLecture notes in mathematics,$$x1617-9692 ;$$vvolume 2298
001447472 504__ $$aIncludes bibliographical references and index.
001447472 5050_ $$a1. Introduction -- 2. A Spectral Theory for Locally Convex Algebras -- 3. Generalized B*-Algebras: Functional Representation Theory -- 4. Commutative Generalized B*-Algebras: Functional Calculus and Equivalent Topologies -- 5. Extended C*-Algebras and Extended W*-Algebras -- 6. Generalized B*-Algebras: Unbounded *-Representation Theory -- 7. Applications I: Miscellanea -- 8. Applications II: Tensor Products.
001447472 506__ $$aAccess limited to authorized users.
001447472 520__ $$aThis book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions. A functional calculus and a spectral theory for GB*-algebras is presented, together with results such as Ogasawara's commutativity condition, Gelfand-Naimark type theorems, a Vidav-Palmer type theorem, an unbounded representation theory, and miscellaneous applications. Numerous contributions to the subject have been made since its initiation by G.R. Allan in 1967, including the notable early work of his student P.G. Dixon. Providing an exposition of existing research in the field, the book aims to make this growing theory as familiar as possible to postgraduate students interested in functional analysis, (unbounded) operator theory and its relationship to mathematical physics. It also addresses researchers interested in extensions of the celebrated theory of C*-algebras.
001447472 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 14, 2022).
001447472 650_0 $$aAssociative algebras.
001447472 650_0 $$aConvex functions.
001447472 655_0 $$aElectronic books.
001447472 7001_ $$aInoue, Atsushi,$$d1944-$$eauthor.
001447472 7001_ $$aWeigt, Martin,$$eauthor.
001447472 7001_ $$aZarakas, Ioannis,$$eauthor.
001447472 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2298.$$x1617-9692
001447472 852__ $$bebk
001447472 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-96433-7$$zOnline Access$$91397441.1
001447472 909CO $$ooai:library.usi.edu:1447472$$pGLOBAL_SET
001447472 980__ $$aBIB
001447472 980__ $$aEBOOK
001447472 982__ $$aEbook
001447472 983__ $$aOnline
001447472 994__ $$a92$$bISE