On the space of φ-nuclear operators on l2.

Marilda A. Simoes

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 2, page 123-128
  • ISSN: 0010-0757

Abstract

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We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.

How to cite

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Simoes, Marilda A.. "On the space of φ-nuclear operators on l2.." Collectanea Mathematica 41.2 (1990): 123-128. <http://eudml.org/doc/42298>.

@article{Simoes1990,
abstract = {We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.},
author = {Simoes, Marilda A.},
journal = {Collectanea Mathematica},
keywords = {Operadores lineales; Operadores acotados; Operadores compactos; Ideal de operadores; Espacio nuclear; Schatten classes; -nuclear operators},
language = {eng},
number = {2},
pages = {123-128},
title = {On the space of φ-nuclear operators on l2.},
url = {http://eudml.org/doc/42298},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Simoes, Marilda A.
TI - On the space of φ-nuclear operators on l2.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 2
SP - 123
EP - 128
AB - We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.
LA - eng
KW - Operadores lineales; Operadores acotados; Operadores compactos; Ideal de operadores; Espacio nuclear; Schatten classes; -nuclear operators
UR - http://eudml.org/doc/42298
ER -

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