Functional Analysis Haase Markus
Functional Analysis Haase Markus This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue…
Specifikacia Functional Analysis Haase Markus
Functional Analysis Haase Markus
This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. 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. 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.
Many examples illustrate the new notions and results. The exposition is clear and rigorous, featuring full and detailed proofs. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailor-made