Fremlin tensor products of concavifications of Banach lattices

Fremlin tensor products of concavifications of Banach lattices

Suppose that is a uniformly complete vector lattice and are positive reals. We prove that the diagonal of the Fremlin projective tensor product of can be identified with where and stands for the -concavification of . We also provide a variant of this result for Banach lattices. This extends the main...

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2014-03, Vol.18 (1), p.191-200
Hauptverfasser: Troitsky, Vladimir G., Zabeti, Omid
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
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Zusammenfassung:Suppose that is a uniformly complete vector lattice and are positive reals. We prove that the diagonal of the Fremlin projective tensor product of can be identified with where and stands for the -concavification of . We also provide a variant of this result for Banach lattices. This extends the main result of Bu et al. (Positivity, 2013 ).
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-013-0239-3