The talk will be about a generalization of Hölder duality to algebra-valued pairings.
Roughly, Hölder duality states that if and satisfy . In finite dimension, this is easy to see as both and are algebraically isomorphic to and it’s just a matter of checking that the pairing does indeed define a linear functional that recovers the p’-norm of .
In this talk we now take to be the -column direct sum of a fixed algebra and to be the -row direct sum of . We now naturally get an -valued dual pairing, so it makes sense to ask whether a version of Hölder duality still holds. I will present examples of A for which a Hölder-like duality still holds, but also discuss other examples for which it doesn’t.
The talk is based on an REU project that ran in CU-Boulder during Summer 2024.
C*-like modules and matrix p-operator norms
Fri, Apr. 4 3:35pm (MATH 2…
Geometry/Analysis
Juhi Jang (University of Southern California)
X
We will discuss recent progress on the vacuum free boundary problems arising in the dynamics of isolated gases with or without gravity. We give an overview of the well-posedness and stability theory, and present some new results on waiting time solutions.
Vacuum Free Boundary Problems in Gas Dynamics Sponsored by the Meyer Fund
C*-like modules and matrix p-operator norms