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020 _a9780387972459 (pbk.)
_c€ 69.99
040 _bENG
_cIISER-BPR
041 _aENG
082 _a515.7
_bCON
_223rd
100 _aConway, John B.
_92994
222 _aMathematics
245 2 _aA course in functional analysis
250 _a2nd ed.
260 _aNew York:
_bSpringer Science,
_cc2007.
300 _axvi, 399p. :
_c24cm
440 _aGraduate texts in Mathematics
_vVol. 96
_92995
504 _aIncludes appendices, bibliographic references, list of symbols and subject index.
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 _aMathematics
_92996
650 _aAnalysis
_92997
650 _aFunctional Analysis
_92998
942 _cBK
_2ddc
942 _2ddc
947 _a5605.6975
948 _a0.22
999 _c4170
_d4170