Results 51 to 60 of about 116 (98)

Absolutely summing multipolynomials

open access: yes, 2020
In this paper we develop the theory of absolutely summing multipolynomials. Among other results, we generalize and unify previous works of G. Botelho and D.
Velanga, T.
core   +1 more source

Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces

open access: yes, 2019
In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for polynomials and we present some new inequalities for the kth Frechet derivative of homogeneous polynomials on real and complex L-p (mu) spaces.
Sarantopoulos, Yannis   +1 more
core  

Absolutely Summing Holomorphic Mappings

open access: yes, 2015
For complex Banach spaces E, F and s, r ∈ [1, +∞] we consider the concept of absolutely (s; r)-summing entire mappings from E into F. Several results and examples show that the existence of such mappings is not a rare fact.
Matos M.C.
core  

On the strong subdifferentiability of homogeneous polynomials and (symmetric) tensor products [PDF]

open access: yes
We study the (uniform) strong subdifferentiability of norms of Banach spaces P(N X, Y ∗) of all continuous N-homogeneous polynomials and tensor products of Banach spaces, namely X⊗b π· · · ⊗b πX and ⊗b πs,NX. Among other results, we characterize when the
Jung, Mingu   +4 more
core   +1 more source

Mappings Between Banach Spaces That Preserve Convergence Of Series

open access: yes, 2015
We know that a numerical series is absolutely convergent, if, and only if, it is unconditionally convergent. Dvoretzky and Rogers proved in 1950 that in any infinite dimensional Banach space there are unconditionally convergent series not absolutely ...
Matos M.C.
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Complex analysis in Banach spaces : holomorphic functions and domains of holomorphy in finite and infinite dimensions /

open access: yes, 1986
Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely many variables, and constitute one of the most promising lines of research in infinite ...
Mujica, Jorge
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Aplicações entre espaços de Banach relacionadas a convergencia de series [PDF]

open access: yes, 2018
Orientador : Mario C. MatosTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação CientificaResumo: Neste trabalho, estudamos vários espaços de aplicações multilineares entre espaços de Banach, utilizando ...
Pellegrino, Daniel Marinho
core  

Factorization of weakly continuous holomorphic mappings

open access: yes, 1996
We prove a basic property of continuous multilinear mappings between topological vector spaces, from which we derive an easy proof of the fact that a multilinear mapping (and a polynomial) between topological vector spaces is weakly continuous on weakly ...
Gutiérrez, Joaqín, González, Manuel
core  

Weak-strong Continuity Of Multilinear Mappings And The Pełczyǹski-pitt Theorem

open access: yes, 2015
In generalizing a result of Pełczyǹski the sequential weak to norm continuity of N-linear mappings between certain Banach spaces (including spaces of type and cotype) will be studied. In particular, it is shown that every N-linear continuous mapping from
Floret K., Alencar R.
core  

Holomorphy types in Banach Spaces

open access: yes, 2014
The main purpose of this dissertation is to study the theory of holomorphy types between Banach spaces, mainly the differentiation of holomorphy types and the interplay between holomorphy types and ideals of homogeneous polynomials.
Torres, Leodan Acuña
core   +1 more source

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