Absolute matrix order ideals in absolute matrix order unit spaces
Functional Analysis
2023-01-02 v1
Abstract
In this paper, we define and study absolute matrix order ideals in absolute matrix order unit spaces. As an application of absolute matrix order unit property, we construct some kinds of absolute matrix order ideals in absolute matrix order unit spaces. Later, we show that the Grothendieck group of a such kind of absolute matrix order ideal for order projections is a subgroup of Grothendieck group of corresponding absolute matrix order unit space for order projections.
Keywords
Cite
@article{arxiv.2212.14263,
title = {Absolute matrix order ideals in absolute matrix order unit spaces},
author = {Amit Kumar},
journal= {arXiv preprint arXiv:2212.14263},
year = {2023}
}
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16 pages