Completion problem for extension of m- isometric weighted composition operators on directed graphs
V. Devadas, T. Prasad, E. Shine Lal
TL;DR
This paper investigates the completion problem for m-isometric weighted composition operators on directed graphs with complex structures, extending understanding of their properties and potential applications.
Contribution
It introduces a new completion problem for m-isometric weighted composition operators on directed graphs with multiple branching vertices.
Findings
Characterization of m-isometric weighted composition operators on directed graphs.
Conditions for the existence of completions in complex graph structures.
Extension of known results to graphs with multiple branching vertices.
Abstract
In this paper, we discuss k-quasi-m-isometric completion problem of unilateral weighted shifts and composition operators on directed graphs with one circuit and more than one branching vertex.
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Taxonomy
TopicsHolomorphic and Operator Theory · Nonlinear Differential Equations Analysis · Advanced Operator Algebra Research