Structure theory of power series spaces of infinite type.

Dietmar Vogt

RACSAM (2003)

  • Volume: 97, Issue: 2, page 339-363
  • ISSN: 1578-7303

Abstract

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The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.

How to cite

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Vogt, Dietmar. "Structure theory of power series spaces of infinite type.." RACSAM 97.2 (2003): 339-363. <http://eudml.org/doc/40982>.

@article{Vogt2003,
abstract = {The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.},
author = {Vogt, Dietmar},
journal = {RACSAM},
keywords = {Espacios lineales topológicos; Espacios de Fréchet; Espacio de sucesiones; Series de potencias; Invariantes topológicos; property (DN); property ; stable power series spaces of infinite type},
language = {eng},
number = {2},
pages = {339-363},
title = {Structure theory of power series spaces of infinite type.},
url = {http://eudml.org/doc/40982},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Vogt, Dietmar
TI - Structure theory of power series spaces of infinite type.
JO - RACSAM
PY - 2003
VL - 97
IS - 2
SP - 339
EP - 363
AB - The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.
LA - eng
KW - Espacios lineales topológicos; Espacios de Fréchet; Espacio de sucesiones; Series de potencias; Invariantes topológicos; property (DN); property ; stable power series spaces of infinite type
UR - http://eudml.org/doc/40982
ER -

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