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001434754 001__ 1434754
001434754 003__ OCoLC
001434754 005__ 20230309003817.0
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001434754 020__ $$a9783030674175$$q(electronic bk.)
001434754 020__ $$a3030674177$$q(electronic bk.)
001434754 020__ $$z9783030674168$$q(print)
001434754 0247_ $$a10.1007/978-3-030-67417-5$$2doi
001434754 035__ $$aSP(OCoLC)1241445668
001434754 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dOCLCQ
001434754 049__ $$aISEA
001434754 050_4 $$aQA322.4
001434754 08204 $$a515/.733$$223
001434754 1001_ $$aAlabiso, Carlo.
001434754 24512 $$aA primer on Hilbert space theory :$$blinear spaces, topological spaces, metric spaces, normed spaces, and topological groups /$$cCarlo Alabiso, Ittay Weiss.
001434754 250__ $$a2nd ed.
001434754 260__ $$aCham :$$bSpringer,$$c2021.
001434754 300__ $$a1 online resource (343 pages)
001434754 336__ $$atext$$btxt$$2rdacontent
001434754 337__ $$acomputer$$bc$$2rdamedia
001434754 338__ $$aonline resource$$bcr$$2rdacarrier
001434754 4901_ $$aUNITEXT for Physics
001434754 504__ $$aIncludes bibliographical references and index.
001434754 5050_ $$a1. Hilbert Space Theory -- A Quick Overview -- 2. Linear Spaces -- 3. Topological Spaces -- 4. Metric Spaces -- 5. The Lebesgue Integral Following Mikusiniski -- 6. Banach Spaces -- 7. Hilbert Spaces -- 8. A Survery of mathematical structures related to Hilbert space theory -- 9. Solved Problems.
001434754 506__ $$aAccess limited to authorized users.
001434754 520__ $$aThis book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authorss lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
001434754 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 30, 2021).
001434754 650_0 $$aHilbert space.
001434754 650_0 $$aTopological spaces.
001434754 650_0 $$aMetric spaces.
001434754 650_0 $$aNormed linear spaces.
001434754 650_6 $$aEspace de Hilbert.
001434754 650_6 $$aEspaces topologiques.
001434754 650_6 $$aEspaces métriques.
001434754 650_6 $$aEspaces linéaires normés.
001434754 655_0 $$aElectronic books.
001434754 7001_ $$aWeiss, Ittay.
001434754 77608 $$iPrint version:$$aAlabiso, Carlo.$$tA Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups.$$dCham : Springer International Publishing AG, ©2021$$z9783030674168
001434754 830_0 $$aUNITEXT for physics.
001434754 852__ $$bebk
001434754 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67417-5$$zOnline Access$$91397441.1
001434754 909CO $$ooai:library.usi.edu:1434754$$pGLOBAL_SET
001434754 980__ $$aBIB
001434754 980__ $$aEBOOK
001434754 982__ $$aEbook
001434754 983__ $$aOnline
001434754 994__ $$a92$$bISE