Rank α operators on the space C(T,X)

Dumitru Popa. "Rank α operators on the space C(T,X)." Colloquium Mathematicae 91.2 (2002): 255-262. <http://eudml.org/doc/284033>.

@article{DumitruPopa2002,
abstract = {For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if $xₙ → \limits ^\{τ_\{α\}\} x$ implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.},
author = {Dumitru Popa},
journal = {Colloquium Mathematicae},
keywords = {rank operator; Banach spaces of continuous functions; tensor product; -summing},
language = {eng},
number = {2},
pages = {255-262},
title = {Rank α operators on the space C(T,X)},
url = {http://eudml.org/doc/284033},
volume = {91},
year = {2002},
}

TY - JOUR
AU - Dumitru Popa
TI - Rank α operators on the space C(T,X)
JO - Colloquium Mathematicae
PY - 2002
VL - 91
IS - 2
SP - 255
EP - 262
AB - For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if $xₙ → \limits ^{τ_{α}} x$ implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.
LA - eng
KW - rank operator; Banach spaces of continuous functions; tensor product; -summing
UR - http://eudml.org/doc/284033
ER -