On strongly l p -summing m-linear operators

Lahcène Mezrag

Colloquium Mathematicae (2008)

  • Volume: 111, Issue: 1, page 59-70
  • ISSN: 0010-1354

Abstract

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We introduce and study a new concept of strongly l p -summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly l p -summing if and only if its adjoint is l p -summing.

How to cite

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Lahcène Mezrag. "On strongly $l_{p}$-summing m-linear operators." Colloquium Mathematicae 111.1 (2008): 59-70. <http://eudml.org/doc/283533>.

@article{LahcèneMezrag2008,
abstract = {We introduce and study a new concept of strongly $l_\{p\}$-summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly $l_\{p\}$-summing if and only if its adjoint is $l_\{p\}$-summing.},
author = {Lahcène Mezrag},
journal = {Colloquium Mathematicae},
keywords = {completely bounded operator; operator space; strongly -summing operator},
language = {eng},
number = {1},
pages = {59-70},
title = {On strongly $l_\{p\}$-summing m-linear operators},
url = {http://eudml.org/doc/283533},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Lahcène Mezrag
TI - On strongly $l_{p}$-summing m-linear operators
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 59
EP - 70
AB - We introduce and study a new concept of strongly $l_{p}$-summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly $l_{p}$-summing if and only if its adjoint is $l_{p}$-summing.
LA - eng
KW - completely bounded operator; operator space; strongly -summing operator
UR - http://eudml.org/doc/283533
ER -

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