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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 | 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) |
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 |
Type: | Article | URI: | http://hdl.handle.net/10077/4219 | 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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| File | Description | Size | Format | |
|---|---|---|---|---|
| AppelRendMat33.pdf | 530.22 kB | Adobe PDF |  View/Open |
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