scholarly journals Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions

2019 ◽  
pp. 585-599
Author(s):  
Yu-Xia Liang ◽  
Ze-Hua Zhou
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Differentiation Operator ◽  
Weighted Banach Spaces

scholarly journals Classical operators on weighted Banach spaces of entire functions

2013 ◽  
Vol 141 (12) ◽  
pp. 4293-4303 ◽  
Author(s):  
María J. Beltrán ◽  
José Bonet ◽  
Carmen Fernández
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Weighted Banach Spaces

scholarly journals Solid hulls of weighted Banach spaces of entire functions

2018 ◽  
Vol 34 (2) ◽  
pp. 593-608 ◽  
Author(s):  
José Bonet ◽  
Jari Taskinen
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Weighted Banach Spaces

Weighted Banach spaces of entire functions

1994 ◽  
Vol 62 (1) ◽  
pp. 58-64 ◽  
Author(s):  
Antonio Galbis
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Weighted Banach Spaces

scholarly journals Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

2014 ◽  
Vol 6 (1) ◽  
pp. 107-116
Author(s):  
Elke Wolf
Keyword(s):  
Banach Spaces ◽  
Composition Operator ◽  
Bergman Spaces ◽  
Holomorphic Functions ◽  
Differentiation Operator ◽  
Weighted Bergman Spaces ◽  
Open Unit ◽  
Open Unit Disk ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

AbstractLet Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ: f ↦ f◦Φ.We are interested in the combination of CΦwith the differentiation operator D, that is in the operator DCΦ: f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

scholarly journals Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 150
Author(s):  
Andriy Zagorodnyuk ◽  
Anna Hihliuk
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Entire Functions ◽  
Dimensional Algebra ◽  
Dimensional Banach Space ◽  
Infinite Dimensional ◽  
Linear Subspaces ◽  
Infinite Dimensional Banach Space

In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples. We show that if X is an infinite dimensional Banach space, then the set of entire functions of unbounded type can be represented as a union of infinite dimensional linear subspaces (without the origin). Moreover, we show that for some cases, the set of entire functions of unbounded type generated by a given sequence of polynomials contains an infinite dimensional algebra (without the origin). Some applications for symmetric analytic functions on Banach spaces are obtained.

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