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math.FA2015
Extending Representations of Dense Subalgebras of -Algebras, and Spectral Invariance
Larry B. Schweitzer
Let be a dense Fréchet subalgebra of the -algebra of compact operators on a seprable Hilbert space. Assume that is spectral invariant in . We show…
math.FA2014
Functions on the Stone-Čech Compactification of the Integers
Larry B. Schweitzer
We construct an algebra of smooth functions which is dense in the pointwise multiplication algebra of sup-norm bounded fu…
math.FA2014
Dense Banach subalgebras of the null sequence algebra which do not satisfy a differential seminorm condition
Larry B. Schweitzer
We construct dense Banach subalgebras of the null sequence algebra which are spectral invariant, but do not satisfy the -condition $\|ab \|_A \leq K(\|a\|_{\infty} \…