Electronic Resource
Springer
Monatshefte für Mathematik
92 (1981), S. 1-17
ISSN:
1436-5081
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Using techniques from harmonic analysis (more specifically Varopoulos' theory of tensor algebras) we study some tensor products of Banach lattices. Our main result is that if the Banach latticeB satisfies a certain additional property, the “Gillespie factorization property”, then a natural quotient of the spaceB⊗^B is anL l-space, and we identify the kernel of this quotient map.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01564845
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