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  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.50 (2018)
  6. Theory of the (m;σ)-general functions over infinite-dimensional Banach spaces
 
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Theory of the (m;σ)-general functions over infinite-dimensional Banach spaces

Asci, Claudio
2018
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ISSN
0049-4704
DOI
10.13137/2464-8728/20577
http://hdl.handle.net/10077/20577
  • Article

e-ISSN
2464-8728
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.
Part of
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol.50 (2018)
Subjects
  • Infinite-dimensional ...

  • infinite-dimensional ...

  • (<i>m</i>; σ)-general...

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
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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