# Some results about absolute summability of operators in Banach spaces.

Stochastica (1986)

- Volume: 10, Issue: 1, page 5-11
- ISSN: 0210-7821

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topLópez 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|| < ∞\}. 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|| < ∞}. 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 -

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