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Search: MSC category 47B99 ( None of the above, but in this section )

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1. CMB 2016 (vol 60 pp. 196)

Rhaly, H. C.
 Corrigendum to "Generalized CesÃ ro Matrices" This note corrects an error in Theorem 1 of "Generalized CesÃ ro matrices" Canad. Math. Bull. 27 (1984), no. 4, 417-422. Keywords:Cesaro operator, Hilbert-Schmidt operator, numerical rangeCategories:47B99, 47A12, 47B10, 47B38

2. CMB 2011 (vol 55 pp. 339)

Loring, Terry A.
 From Matrix to Operator Inequalities We generalize LÃ¶wner's method for proving that matrix monotone functions are operator monotone. The relation $x\leq y$ on bounded operators is our model for a definition of $C^{*}$-relations being residually finite dimensional. Our main result is a meta-theorem about theorems involving relations on bounded operators. If we can show there are residually finite dimensional relations involved and verify a technical condition, then such a theorem will follow from its restriction to matrices. Applications are shown regarding norms of exponentials, the norms of commutators, and "positive" noncommutative $*$-polynomials. Keywords:$C*$-algebras, matrices, bounded operators, relations, operator norm, order, commutator, exponential, residually finite dimensionalCategories:46L05, 47B99
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