On ortho and disjointly compact operators acting to Frechet spaces
Svetlana Gorokhova
TL;DR
This paper investigates the properties of orthogonal and disjointly compact operators from Hilbert spaces and Banach lattices to Frechet spaces, focusing on their compactness behavior along specific sequences.
Contribution
It introduces a framework for analyzing compactness of operators in Frechet spaces along orthonormal and disjoint sequences, extending existing theories.
Findings
Characterization of compactness along orthonormal sequences
Extension of disjointly compact operator theory to Frechet spaces
New criteria for operator compactness in the context of Frechet spaces
Abstract
We study compactness along orthonormal (disjoint bounded) sequences for operators from Hilbert spaces (Banach lattices) to Frechet spaces.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Advanced Operator Algebra Research