Properties and applications of Tauberian operators.

Manuel González

Extracta Mathematicae (1990)

  • Volume: 5, Issue: 3, page 91-107
  • ISSN: 0213-8743

Abstract

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Tauberian operators, which appeared in response to a problem in summability [GaW, KW] have found application in several situations: factorization of operators [DFJP], preservation of isomorphic properties of Banach spaces [N, NR], equivalence between the Radon-Nikodym property and the Krein-Milman property [Sch], and generalized Fredholm operators [Ta, Y].This paper is a survey of the main properties and applications of Tauberian operators.

How to cite

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González, Manuel. "Properties and applications of Tauberian operators.." Extracta Mathematicae 5.3 (1990): 91-107. <http://eudml.org/doc/39881>.

@article{González1990,
abstract = {Tauberian operators, which appeared in response to a problem in summability [GaW, KW] have found application in several situations: factorization of operators [DFJP], preservation of isomorphic properties of Banach spaces [N, NR], equivalence between the Radon-Nikodym property and the Krein-Milman property [Sch], and generalized Fredholm operators [Ta, Y].This paper is a survey of the main properties and applications of Tauberian operators.},
author = {González, Manuel},
journal = {Extracta Mathematicae},
keywords = {Operadores tauberianos; Ideal de operadores; Medidas de no compacidad; Espacios normados; Tauberian operators; summability; factorization of operators; preservation of isomorphic properties of Banach spaces; Radon-Nikodym property; Krein-Milman property; generalized Fredholm operators},
language = {eng},
number = {3},
pages = {91-107},
title = {Properties and applications of Tauberian operators.},
url = {http://eudml.org/doc/39881},
volume = {5},
year = {1990},
}

TY - JOUR
AU - González, Manuel
TI - Properties and applications of Tauberian operators.
JO - Extracta Mathematicae
PY - 1990
VL - 5
IS - 3
SP - 91
EP - 107
AB - Tauberian operators, which appeared in response to a problem in summability [GaW, KW] have found application in several situations: factorization of operators [DFJP], preservation of isomorphic properties of Banach spaces [N, NR], equivalence between the Radon-Nikodym property and the Krein-Milman property [Sch], and generalized Fredholm operators [Ta, Y].This paper is a survey of the main properties and applications of Tauberian operators.
LA - eng
KW - Operadores tauberianos; Ideal de operadores; Medidas de no compacidad; Espacios normados; Tauberian operators; summability; factorization of operators; preservation of isomorphic properties of Banach spaces; Radon-Nikodym property; Krein-Milman property; generalized Fredholm operators
UR - http://eudml.org/doc/39881
ER -

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