A Note on Banach Principle for JW-algebras
Genady Ya. Grabarnik, Alexander A. Katz
TL;DR
This paper extends the Banach Principle to semifinite JW-algebras, broadening the scope of previous results from von Neumann algebras to JW-algebras, which are important in quantum algebra.
Contribution
It establishes the Banach Principle for a class of JW-algebras, generalizing recent results from von Neumann algebras to JW-algebras.
Findings
Banach Principle is valid for semifinite JW-algebras without type I2 summands
Extension of results from von Neumann algebras to JW-algebras
Provides a foundation for further analysis in quantum algebra contexts
Abstract
In the sequel we establish the Banach Principle for semifinite JW-algebras without direct summand of type I sub 2, which extends the recent results of Chilin and Litvinov on the Banach Principle for semifinite von Neumann algebras to the case of JW-algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Banach Space Theory