A non-type (D) linear isometry
O. Bueno, B. F. Svaiter
TL;DR
This paper introduces a simple example of a non-type (D) linear isometry, simplifying the understanding and construction of such operators in the context of maximal monotone operator theory.
Contribution
It provides a straightforward construction of a non-type (D) linear isometry, improving upon previous complex methods based on Gossez's non-type (D) operators.
Findings
Constructs a simple non-type (D) linear isometry
Simplifies the understanding of non-type (D) operators
Offers new tools for maximal monotone operator analysis
Abstract
Previous constructions of non-type (D) maximal monotone operators were based on the non-type (D) operators introduced by Gossez, and the construction of such operators or the proof that they were non-type (D) were not straightforward. The aim of this paper is to present a very simple non-type (D) linear isometry.
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Taxonomy
TopicsMatrix Theory and Algorithms · Holomorphic and Operator Theory · Algebraic and Geometric Analysis