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Title: Insiemi ed Operatori "Piccoli" in Analisi Funzionale
Authors: Appell, Jürgen
Keywords: nullsetBaire categoryLebesgue measuremicroscopic setCantor setmeasurable functionhomeomorphismCantor functionCarathéodory functionScorza-Dragoni functionHausdorff measureHausdorff dimensioncovering dimensionfractalcontractive operatormeasure of noncompactnesscondensing operatormetric fixed point theory
Issue Date: 2001
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.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
33 (2001)
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
Type: Article
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.33 (2001)

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