000 02373nam a22003258i 4500
001 CR9780857282224
003 UkCbUP
005 20200124160341.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130327s2013||||enk o ||1 0|eng|d
020 _a9780857282224 (ebook)
020 _z9780857283207 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA320
_b.S46 2013
082 0 4 _a515.7
_222
100 1 _aSen, Rabindranath,
_eauthor.
245 1 2 _aA first course in functional analysis :
_btheory and applications /
_cRabindranath Sen.
264 1 _aLondon :
_bAnthem Press,
_c2013.
300 _a1 online resource (xviii, 468 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 02 Oct 2015).
505 0 _aPreliminaries -- Normed linear spaces -- Hilbert space -- Linear operators -- Linear functions -- Space of bounded linear functionals -- Closed graph theorem and its consequences -- Compact operators on normed linear spaces -- Elements of spectral theory of self-adjoint operators in Hilbert spaces -- Measures and integration in Lp[subscript] spaces -- Unbounded linear operators -- The Hahn-Banach theorem and optimization problems -- Variational problems -- The wavelet analysis -- Dynamical systems.
520 _aThis book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.
650 0 _aFunctional analysis.
776 0 8 _iPrint version:
_z9780857283207
856 4 0 _uhttp://www.cambridge.org/core/product/identifier/9780857282224/type/BOOK
999 _c523449
_d523447