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arXiv · 2207.12799

Modular Paulsen Problem and Modular Projection Problem

K. Mahesh Krishna
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Abstract

Based on the solution of \textbf{Paulsen Problem} by Kwok, Lau, Lee, and Ramachandran [\textit{STOC'18-Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018}] and independently by Hamilton, and Moitra [\textit{Isr. J. Math., 2021}] we study Paulsen Problem and Projection Problem in the context of Hilbert C*-modules. We show that for commutative C*-algebras, if Modular Paulsen Problem has a solution, then Modular Projection Problem also has a solution. We formulate the problem of operator scaling for matrices over C*-algebras.

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K. Mahesh Krishna. 2022-07-26. Modular Paulsen Problem and Modular Projection Problem. https://arxiv.org/abs/2207.12799

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