# l(Φ,φ) operators and (Φ,φ)-spaces.

Collectanea Mathematica (1979)

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

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topTita, 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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