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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry

3 votes

Are almost commuting hermitian matrices close to commuting matrices (in the 2-norm)?

As part of my dissertation, "Almost Commuting Operators on von Neumann Algebras," I have extended Glebsky's result to the normalized Schatten class for $1 \leq p < \infty$. Moreover, for $p=2$ we re …
Mustafa Said's user avatar
  • 3,699
1 vote

How to quantify noncommutativity?

"(I would consider it a big plus if it is computable easily for finite complex-valued matrices $A,B \in \mathbb{C^{n×n}}$.)" If you want to measure non-commutativity of two matrices in an easy fashio …
Mustafa Said's user avatar
  • 3,699