l(Φ,φ) operators and (Φ,φ)-spaces.

Nicolae Tita

Collectanea Mathematica (1979)

  • Volume: 30, Issue: 1, page 3-9
  • ISSN: 0010-0757

Abstract

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A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor product is also proved for the (Φ,φ)-spaces.

How to cite

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Tita, Nicolae. "l(Φ,φ) operators and (Φ,φ)-spaces.." Collectanea Mathematica 30.1 (1979): 3-9. <http://eudml.org/doc/38151>.

@article{Tita1979,
abstract = {A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor product is also proved for the (Φ,φ)-spaces. },
author = {Tita, Nicolae},
journal = {Collectanea Mathematica},
keywords = {Análisis de funciones; Algebra de operadores; Dominios convexos; Espacio nuclear; operator ideal; approximation numbers; Gelfand numbers; stability of the tensor product},
language = {eng},
number = {1},
pages = {3-9},
title = {l(Φ,φ) operators and (Φ,φ)-spaces.},
url = {http://eudml.org/doc/38151},
volume = {30},
year = {1979},
}

TY - JOUR
AU - Tita, Nicolae
TI - l(Φ,φ) operators and (Φ,φ)-spaces.
JO - Collectanea Mathematica
PY - 1979
VL - 30
IS - 1
SP - 3
EP - 9
AB - A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor product is also proved for the (Φ,φ)-spaces.
LA - eng
KW - Análisis de funciones; Algebra de operadores; Dominios convexos; Espacio nuclear; operator ideal; approximation numbers; Gelfand numbers; stability of the tensor product
UR - http://eudml.org/doc/38151
ER -

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