Linear analysis : an introductory course /
Bollobas, Bela
Linear analysis : an introductory course / Bela Bollobas - 2nd ed. - India Cambridge 1999 - 240 p.
This 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.
9781108700337
Functional analysis
515.7 BOL-B
Linear analysis : an introductory course / Bela Bollobas - 2nd ed. - India Cambridge 1999 - 240 p.
This 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.
9781108700337
Functional analysis
515.7 BOL-B