Some results about absolute summability of operators in Banach spaces.

López Corral, Luis. "Some results about absolute summability of operators in Banach spaces.." Stochastica 10.1 (1986): 5-11. <http://eudml.org/doc/38941>.

@article{LópezCorral1986,
abstract = {In order to study the absolute summability of an operator T we consider the set ST = \{\{xn\} | ∑||Txn|| &lt; ∞\}. It is well known that an operator T in a Hilbert space is nuclear if and only if ST contains an orthonormal basis and it is natural to ask under which conditions two orthonormal basis define the same left ideal of nuclear operators. Using results about ST we solve this problem in the more general context of Banach spaces.},
author = {López Corral, Luis},
journal = {Stochastica},
keywords = {Operadores lineales; Sumabilidad; Espacios de Banach; absolute summability; orthonormal basis; left ideal of nuclear operators},
language = {eng},
number = {1},
pages = {5-11},
title = {Some results about absolute summability of operators in Banach spaces.},
url = {http://eudml.org/doc/38941},
volume = {10},
year = {1986},
}

TY - JOUR
AU - López Corral, Luis
TI - Some results about absolute summability of operators in Banach spaces.
JO - Stochastica
PY - 1986
VL - 10
IS - 1
SP - 5
EP - 11
AB - In order to study the absolute summability of an operator T we consider the set ST = {{xn} | ∑||Txn|| &lt; ∞}. It is well known that an operator T in a Hilbert space is nuclear if and only if ST contains an orthonormal basis and it is natural to ask under which conditions two orthonormal basis define the same left ideal of nuclear operators. Using results about ST we solve this problem in the more general context of Banach spaces.
LA - eng
KW - Operadores lineales; Sumabilidad; Espacios de Banach; absolute summability; orthonormal basis; left ideal of nuclear operators
UR - http://eudml.org/doc/38941
ER -