Fully summing mappings between Banach spaces

Mário C. Matos; Daniel M. Pellegrino

Studia Mathematica (2007)

  • Volume: 178, Issue: 1, page 47-61
  • ISSN: 0039-3223

Abstract

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We introduce and investigate the non-n-linear concept of fully summing mappings; if n = 1 this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-n-linear definition of Hilbert-Schmidt mappings and sketch connections between this concept and fully summing mappings.

How to cite

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Mário C. Matos, and Daniel M. Pellegrino. "Fully summing mappings between Banach spaces." Studia Mathematica 178.1 (2007): 47-61. <http://eudml.org/doc/285215>.

@article{MárioC2007,
abstract = {We introduce and investigate the non-n-linear concept of fully summing mappings; if n = 1 this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-n-linear definition of Hilbert-Schmidt mappings and sketch connections between this concept and fully summing mappings.},
author = {Mário C. Matos, Daniel M. Pellegrino},
journal = {Studia Mathematica},
keywords = {Banach spaces; holomorphic mapping; absolutely summing mapping; Hilbert-Schmidt mapping},
language = {eng},
number = {1},
pages = {47-61},
title = {Fully summing mappings between Banach spaces},
url = {http://eudml.org/doc/285215},
volume = {178},
year = {2007},
}

TY - JOUR
AU - Mário C. Matos
AU - Daniel M. Pellegrino
TI - Fully summing mappings between Banach spaces
JO - Studia Mathematica
PY - 2007
VL - 178
IS - 1
SP - 47
EP - 61
AB - We introduce and investigate the non-n-linear concept of fully summing mappings; if n = 1 this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-n-linear definition of Hilbert-Schmidt mappings and sketch connections between this concept and fully summing mappings.
LA - eng
KW - Banach spaces; holomorphic mapping; absolutely summing mapping; Hilbert-Schmidt mapping
UR - http://eudml.org/doc/285215
ER -

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