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On Norm-Preserving Isomorphisms of L-P (Mu, H)
(2016)
Given an arbitrary positive measure space (X, A, mu) and a Hilbert space H. In this article we give a new proof for the characterization theorem of the surjective linear isometries of the space L-p (mu, H) (for 1 <= p < ...
On some properties of hyperstonean spaces
(2018)
This paper is devoted to hyperstonean spaces that are precisely the Stone spaces of measure algebras, or the Stone spaces of the Boolean algebras of L-p-projections of Banach spaces for 1 <= p < infinity, p not equal 2. ...
On reflexivity of the Bochner space L-P (mu, E) for arbitrary mu
(2018)
Let (Omega, A, mu) be a finite positive measure space, E a Banach space, and 1 < p < infinity. It is known that the Bochner space L-P (mu, E) is reflexive if and only if E is reflexive. It is also known that L(L-1(mu), E) ...