# Structure theory of power series spaces of infinite type.

RACSAM (2003)

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

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topVogt, 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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