Decomposition of an abstract Uryson operator
M. A. Ben Amor, M. Pliev
TL;DR
This paper studies the structure of abstract Uryson operators, providing formulas for band projections and analyzing their lateral continuity, advancing the theoretical understanding of these operators in functional analysis.
Contribution
It introduces formulas for band projections on generated bands and characterizes the laterally continuous part of abstract Uryson operators, expanding the theoretical framework.
Findings
Formulas for band projections on generated bands
Characterization of laterally continuous parts
Enhanced understanding of abstract Uryson operators
Abstract
We consider the space of abstract Uryson operators firstly introduced in [9]. We obtain the formulas for band projections on the band generated by increasing set of a positive Uryson operators and on the band generated one-dimensional abstract Uryson operators. We also calculate the laterally continuous part of a abstract Uryson operator.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Banach Space Theory · Holomorphic and Operator Theory