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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4219

Title: Insiemi ed Operatori "Piccoli" in Analisi Funzionale
Authors: Appell, Jürgen
Keywords: nullset
Baire category
Lebesgue measure
microscopic set
Cantor set
measurable function
homeomorphism
Cantor function
Carathéodory function
Scorza-Dragoni function
Hausdorff measure
Hausdorff dimension
covering dimension
fractal
contractive operator
measure of noncompactness
condensing operator
metric fixed point theory
Issue Date: 2001
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: 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.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
33 (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
URI: http://hdl.handle.net/10077/4219
ISSN: 0049-4704
MS Classification: 26A15
26A16
26A30
26B40
28A20
28A78
47H09
47H10
54E52
Appears in Collections:Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.33 (2001)

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