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Insiemi ed Operatori "Piccoli" in Analisi Funzionale
Appell, Jürgen
2001
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
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
33 (2001)
Subjects
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...
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Jürgen Appell, "Insiemi ed Operatori "Piccoli" in Analisi Funzionale", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 33 (2001), pp. 127-199.
Languages
it
File(s)