Bernstein Type Asymptotic Evaluations for Linear Positive Operators on $$C\left[ \alpha ,\beta \right] $$
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DOI: 10.1007/s00025-019-1101-0
Abstract: We prove a general Bernstein type asymptotic evaluation for linear positive operators on the space $$C\left[ \alpha ,\beta \right] $$. Our proof is entirely different than those known in the literature. As application, we prove… read more here.
Keywords: positive operators; left alpha; type asymptotic; linear positive ... See more keywords
On the unit sphere of positive operators
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DOI: 10.1215/17358787-2018-0017
Abstract: Given a C$^*$-algebra $A$, let $S(A^+)$ denote the set of those positive elements in the unit sphere of $A$. Let $H_1$, $H_2,$ $H_3$ and $H_4$ be complex Hilbert spaces, where $H_3$ and $H_4$ are infinite-dimensional… read more here.
Keywords: positive operators; unit sphere; sphere positive; unit ... See more keywords