000 nam a22 7a 4500
999 _c38838
_d38838
008 190204b1999 xxu||||| |||| 00| 0 eng d
020 _a9781108700337
082 _a515.7 BOL-B
100 _aBollobas, Bela
245 _aLinear analysis : an introductory course /
_cBela Bollobas
250 _a2nd ed.
260 _aIndia
_bCambridge
_c1999
300 _a240 p.
365 _aINR
_b395.00
500 _aThis introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finite-dimensional spaces, invariant subspace, fixed-point theorem, and the Bishop-Phelps theorem. An outstanding set of exercises run from the elementary to the challenging.
650 _aFunctional analysis