On scalar-valued nonlinear absolutely summing mappings

Daniel Pellegrino

Annales Polonici Mathematici (2004)

  • Volume: 83, Issue: 3, page 281-288
  • ISSN: 0066-2216

Abstract

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We investigate cases ("coincidence situations") in which every scalar-valued continuous n-homogeneous polynomial (or every continuous n-linear mapping) is absolutely (p;q)-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.

How to cite

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Daniel Pellegrino. "On scalar-valued nonlinear absolutely summing mappings." Annales Polonici Mathematici 83.3 (2004): 281-288. <http://eudml.org/doc/280605>.

@article{DanielPellegrino2004,
abstract = {We investigate cases ("coincidence situations") in which every scalar-valued continuous n-homogeneous polynomial (or every continuous n-linear mapping) is absolutely (p;q)-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.},
author = {Daniel Pellegrino},
journal = {Annales Polonici Mathematici},
keywords = {absolutely summing polynomials; dominated polynomials},
language = {eng},
number = {3},
pages = {281-288},
title = {On scalar-valued nonlinear absolutely summing mappings},
url = {http://eudml.org/doc/280605},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Daniel Pellegrino
TI - On scalar-valued nonlinear absolutely summing mappings
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 3
SP - 281
EP - 288
AB - We investigate cases ("coincidence situations") in which every scalar-valued continuous n-homogeneous polynomial (or every continuous n-linear mapping) is absolutely (p;q)-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.
LA - eng
KW - absolutely summing polynomials; dominated polynomials
UR - http://eudml.org/doc/280605
ER -

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