A result on the ideal structure of $$\mathcal L^r(X)$$Lr(X) for uniformly convex X
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DOI: 10.1007/s11117-018-0619-9
Abstract: We consider the question of when is every positive compact operator, between two given Banach lattices, approximable regular. An immediate consequence of our main result is that, within the class of uniformly convex Banach lattices,… read more here.
Keywords: uniformly convex; structure mathcal; result; result ideal ... See more keywords
On the ideal structure of the tensor product of nearly simple algebras
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DOI: 10.1080/00927872.2019.1710842
Abstract: Abstract We define a unital algebra A over a field to be nearly simple if A contains a unique non-trivial ideal IA such that If A and B are two nearly simple algebras over ,… read more here.
Keywords: simple algebras; nearly simple; structure tensor; tensor product ... See more keywords