On Logarithmic Sobolev Inequality for the Noncommutative Two Torus
Masoud Khalkhali, Sajad Sadeghi
TL;DR
This paper establishes a noncommutative analogue of Gross' logarithmic Sobolev inequality specifically for elements of the noncommutative two torus, extending classical functional inequalities into the noncommutative setting.
Contribution
It introduces a new logarithmic Sobolev inequality for noncommutative two tori, advancing the understanding of functional inequalities in noncommutative geometry.
Findings
Proved a logarithmic Sobolev inequality for noncommutative two tori
Extended classical inequalities to noncommutative settings
Provides tools for analysis in noncommutative geometry
Abstract
An analogue of Gross' logarithmic Sobolev inequality for a class of elements of noncommutative two tori is proved.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Geometric and Algebraic Topology