Enlargements of operators between locally convex spaces.

José A. Conejero

RACSAM (2007)

  • Volume: 101, Issue: 1, page 45-50
  • ISSN: 1578-7303

Abstract

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In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.

How to cite

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Conejero, José A.. "Enlargements of operators between locally convex spaces.." RACSAM 101.1 (2007): 45-50. <http://eudml.org/doc/41662>.

@article{Conejero2007,
abstract = {In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.},
author = {Conejero, José A.},
journal = {RACSAM},
keywords = {locally convex spaces; continuous linear operators; spaces of bounded vector-valued sequences},
language = {eng},
number = {1},
pages = {45-50},
title = {Enlargements of operators between locally convex spaces.},
url = {http://eudml.org/doc/41662},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Conejero, José A.
TI - Enlargements of operators between locally convex spaces.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 45
EP - 50
AB - In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.
LA - eng
KW - locally convex spaces; continuous linear operators; spaces of bounded vector-valued sequences
UR - http://eudml.org/doc/41662
ER -

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