COINCIDENCE OF TOPOLOGIES ON TENSOR-PRODUCTS OF KOTHE ECHELON SPACES

Authors
BONET J DEFANT A PERIS A RAMANUJAN MS
Citation
J. Bonet et al., COINCIDENCE OF TOPOLOGIES ON TENSOR-PRODUCTS OF KOTHE ECHELON SPACES, Studia Mathematica, 111(3), 1994, pp. 263-281
Citations number
25
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
111
Issue
3
Year of publication
1994
Pages
263 - 281
Database
ISI
SICI code
0039-3223(1994)111:3<263:COTOTO>2.0.ZU;2-2
Abstract
We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Kothe echelon or coe chelon spaces. A major tool in the proof is the characterization of th e epsilonpi-continuity of the tensor product of two diagonal operators from l(p) to l(p). Several sharp forms of this result are also includ ed.