The Shilov boundary for a local operator system
Maria Joi\c{t}a
TL;DR
This paper introduces the concept of the Shilov boundary ideal within local operator systems and explores its fundamental properties, advancing the understanding of boundary theory in operator algebra.
Contribution
It defines the Shilov boundary ideal for local operator systems and analyzes its key properties, providing new insights into boundary theory.
Findings
Defined the Shilov boundary ideal for local operator systems
Established basic properties of the Shilov boundary ideal
Extended boundary theory concepts to local operator systems
Abstract
In this paper, we introduce the notion of Shilov boundary ideal for a local operator system and investigate some of its properties.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Advanced Mathematical Modeling in Engineering