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math.FA2022

Subdifferentiability and polyhedrality of the norm

Taduri Srinivasa Siva Rama Krishna Rao

In this paper we give necessary and sufficient conditions for the norm on an infinite dimensional Banach space to be sub differentiable, for various classes of Bananch spaces.

math.FA2022

Computing sub differential limits of operators on Banach spaces

Taduri Srinivas Siva Rama Krishna Rao

In this paper we give conditions under which sub differential limits can be better estimated.

math.FA2022

Best approximation in spaces of compact operators

Taduri Srinivasa Siva Rama Krishna Rao

For a closed subspace of the range space, we give conditions under which the subspace valued compact operators forms a proximinal subspace of compact operators into the range space…

math.FA2022

Orthogonality for biadjoints of operators

Taduri Srinivasa Siva Rama Krishna Rao

In this paper we study Birkhoff-James Orthogonality for biadjoints of operators. We partly solve the problem, if an operator is orthogonal to the space of operators valued in a sub…

math.FA2022

Order preserving quotient lifting properties

Taduri Srinivasa Siva Rama Krishna Rao

In this paper we formulate order preserving quotient lifting property and the compact lifting property. In the case of affine continuous functions on a Choquet simplex, we show the…

math.FA2022

Frechet differentiability and quasi-polyhedrality in spaces of operators

Taduri Srinivasa Siva Rama Krishna Rao

Let be infinite dimensional, Banach spaces. Let be the space of bounded operators . Motivated by the fact that smoothness of norm in the higher duals of…