000 01869nam a22002415i 4500
005 20210812160315.0
008 130221s2007 xxu| s |||| 0|eng d
020 _a9781475743838
_9978-1-4757-4383-8
050 4 _aQA299.6-433
082 0 4 _a515
_223
100 1 _aConway, John B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 2 _aA Course in Functional Analysis
_h[electronic resource] /
_cby John B Conway.
250 _a2nd ed. 2007.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2007.
300 _aXVI, 400 p.
_bonline resource.
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v96
520 _aFunctional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 1 4 _aAnalysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
856 4 0 _uhttps://doi.org/10.1007/978-1-4757-4383-8
999 _c1456
_d1456