Automatic continuity of operators commuting with translations

J. Alaminos, J. Extremera, and A. R. Villena. "Automatic continuity of operators commuting with translations." Studia Mathematica 173.3 (2006): 259-293. <http://eudml.org/doc/284996>.

@article{J2006,
abstract = {Let $τ_\{X\}$ and $τ_\{Y\}$ be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Φ: X → Y with the property that $Φ ∘ τ_\{X\}(t) = τ_\{Y\}(t) ∘ Φ $ for each t ∈ G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.},
author = {J. Alaminos, J. Extremera, A. R. Villena},
journal = {Studia Mathematica},
keywords = {automatic continuity; intertwining operators; invariant vectors; translation invariant functionals},
language = {eng},
number = {3},
pages = {259-293},
title = {Automatic continuity of operators commuting with translations},
url = {http://eudml.org/doc/284996},
volume = {173},
year = {2006},
}

TY - JOUR
AU - J. Alaminos
AU - J. Extremera
AU - A. R. Villena
TI - Automatic continuity of operators commuting with translations
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 3
SP - 259
EP - 293
AB - Let $τ_{X}$ and $τ_{Y}$ be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Φ: X → Y with the property that $Φ ∘ τ_{X}(t) = τ_{Y}(t) ∘ Φ $ for each t ∈ G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.
LA - eng
KW - automatic continuity; intertwining operators; invariant vectors; translation invariant functionals
UR - http://eudml.org/doc/284996
ER -