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pro vyhledávání: '"Aron, Richard M."'
We introduce and explore a new property related to reflexivity that plays an important role in the characterization of norm attaining operators. We also present an application to the theory of compact perturbations of linear operators and characteriz
Externí odkaz:
http://arxiv.org/abs/1906.02162
For a complex Banach space $X$ with open unit ball $B_X,$ consider the Banach algebras $\mathcal H^\infty(B_X)$ of bounded scalar-valued holomorphic functions and the subalgebra $\mathcal A_u(B_X)$ of uniformly continuous functions on $B_X.$ Denoting
Externí odkaz:
http://arxiv.org/abs/1902.01735
Publikováno v:
Ann. Acad. Sci. Fenn. Math. 42 (2017), no. 2, 525-534
Given a surjective mapping $f : E \to F$ between Banach spaces, we investigate the existence of a subspace $G$ of $E$, with the same density character as $F$, such that the restriction of $f$ to $G$ remains surjective. We obtain a positive answer whe
Externí odkaz:
http://arxiv.org/abs/1607.01725
Akademický článek
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Autor:
Aron, Richard M., Bes, Juan P.
Publikováno v:
Contemporary Mathematics 232 (1998), pp 39-47
A classical theorem due to G.D. Birkhoff states that there exists an entire function whose translates approximate any given entire function, as accurately as desired, over any ball of the complex plane. We show this result may be generalized to the s
Externí odkaz:
http://arxiv.org/abs/math/9906199
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Oct 01. 145(10), 4449-4464.
Externí odkaz:
https://www.jstor.org/stable/90013113
Publikováno v:
Results in Mathematics / Resultate der Mathematik; Mar2024, Vol. 79 Issue 2, p1-20, 20p