TY  - BOOK
AU  - Haase, Markus
TI  - Functional Analysis: An elementary introduction
T2  - Graduate studies in mathematics ; 156
SN  - 9781470454739
PY  - 2014///
CY  - Hyderabad 
PB  - American Mathematical Society
KW  - Mathematics
KW  - Functional analysis - Textbooks
KW  - Differential equations, Partial - Textbooks
N2  - This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts
ER  -