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Title: | Theory of the (m;σ)-general functions over infinite-dimensional Banach spaces | Authors: | Asci, Claudio | Keywords: | Infinite-dimensional Banach spaces; infinite-dimensional differentiation theory; (<i>m</i>; σ)-general functions | Issue Date: | 2018 | Publisher: | EUT Edizioni Università di Trieste | Source: | Claudio Asci, "Theory of the (m;σ)-general functions over infinite-dimensional Banach spaces", in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 50 (2018)", Trieste, EUT Edizioni Università di Trieste, 2018, pp. 1-36 | Part of: | Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol.50 (2018) | Abstract: | In this paper, we introduce some functions, called (m; σ)- general, that generalize the (m; σ)-standard functions and are dfined in the infinite-dimensional Banach space EI of the bounded real sequences fxngn2I, for some subset I of N*. Moreover, we recall the main results about the differentiation theory over EI , and we expose some properties of the (m; σ)-general functions. Finally, we study the linear (m; σ)- general functions, by introducing a theory that generalizes the standard theory of the m x m matrices. |
Type: | Article | URI: | http://hdl.handle.net/10077/20577 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/2464-8728/20577 | Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internazionale |
Appears in Collections: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.50 (2018) |
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