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Insiemi ed Operatori "Piccoli" in Analisi Funzionale

Appell, Jürgen
2001
  • Controlled Vocabulary...

Abstract
we provide of comparison of different concepts of "smallness" of sets and operators which frequently occur in real analysis, measure theory, functional analysis, and operator theory. Typical examples are nullsets, sets of first category, sets of small Hausdorff dimension, and sets which are "small" from some metric or topological viewpoint. The presentation is elementary and selfcontained, with a particular emphasis on examples and counterexamples, rather than abstract theorems in great generality
Archivio
http://hdl.handle.net/10077/4219
Diritti
open access
Soggetti
  • nullset

  • Baire category

  • Lebesgue measure

  • microscopic set

  • Cantor set

  • measurable function

  • homeomorphism

  • Cantor function

  • Carathéodory function...

  • Scorza-Dragoni functi...

  • Hausdorff measure

  • Hausdorff dimension

  • covering dimension

  • fractal

  • contractive operator

  • measure of noncompact...

  • condensing operator

  • metric fixed point th...

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