Orthogonality for biadjoints of operators
Taduri Srinivasa Siva Rama Krishna Rao
TL;DR
This paper investigates Birkhoff-James orthogonality for biadjoints of operators, addressing conditions under which an operator is orthogonal to a subspace based on norm attainment and orthogonality properties.
Contribution
It provides partial solutions to the problem of characterizing orthogonality of biadjoint operators relative to subspaces in the context of Birkhoff-James orthogonality.
Findings
Partial characterization of orthogonality conditions for biadjoint operators.
Insights into norm attainment points and their relation to orthogonality.
Advancement in understanding operator orthogonality in Banach space theory.
Abstract
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 subspace, when the is the norm of biadjoint is attained at a point where the value is orthogonal to the subspace?
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Taxonomy
TopicsAdvanced Algebra and Logic · Holomorphic and Operator Theory · Matrix Theory and Algorithms