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001 978-93-86279-42-2
003 DE-He213
005 20210602114659.0
007 cr nn 008mamaa
008 170720s2009 ii | s |||| 0|eng d
020 _a9789386279422
_9978-93-86279-42-2
024 7 _a10.1007/978-93-86279-42-2
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aKesavan, S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFunctional Analysis
_h[electronic resource] /
_cby S. Kesavan.
250 _a1st ed. 2009.
264 1 _aGurgaon :
_bHindustan Book Agency :
_bImprint: Hindustan Book Agency,
_c2009.
300 _a282 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts and Readings in Mathematics ;
_v52
520 _aThe material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text.
650 0 _aMathematics.
650 1 4 _aMathematics, general.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M00009
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9788185931876
830 0 _aTexts and Readings in Mathematics ;
_v52
856 4 0 _uhttps://doi.org/10.1007/978-93-86279-42-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c9432
_d9432