Holomorphy types and ideals of multilinear mappings

G. Botelho; H.-A. Braunss; H. Junek; D. Pellegrino

Studia Mathematica (2006)

  • Volume: 177, Issue: 1, page 43-65
  • ISSN: 0039-3223

Abstract

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We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p;q)-summing at every point.

How to cite

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G. Botelho, et al. "Holomorphy types and ideals of multilinear mappings." Studia Mathematica 177.1 (2006): 43-65. <http://eudml.org/doc/285018>.

@article{G2006,
abstract = {We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p;q)-summing at every point.},
author = {G. Botelho, H.-A. Braunss, H. Junek, D. Pellegrino},
journal = {Studia Mathematica},
keywords = {global holomorphy type; everywhere absolutely -summing mappings; ideal of multilinear mappings},
language = {eng},
number = {1},
pages = {43-65},
title = {Holomorphy types and ideals of multilinear mappings},
url = {http://eudml.org/doc/285018},
volume = {177},
year = {2006},
}

TY - JOUR
AU - G. Botelho
AU - H.-A. Braunss
AU - H. Junek
AU - D. Pellegrino
TI - Holomorphy types and ideals of multilinear mappings
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 1
SP - 43
EP - 65
AB - We explore a condition under which the ideal of polynomials generated by an ideal of multilinear mappings between Banach spaces is a global holomorphy type. After some examples and applications, this condition is studied in its own right. A final section provides applications to the ideals formed by multilinear mappings and polynomials which are absolutely (p;q)-summing at every point.
LA - eng
KW - global holomorphy type; everywhere absolutely -summing mappings; ideal of multilinear mappings
UR - http://eudml.org/doc/285018
ER -

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