Block Numerical Range and Estimable Decomposition of Some Hyponormal Operators
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DOI: 10.1007/s11785-019-00967-2
Abstract: In this paper we investigate the block numerical range and the existences of estimable decompositions of bounded linear operators on a separable Hilbert space. By using spectral measure, we show that there exists an estimable… read more here.
Keywords: block numerical; estimable decomposition; hyponormal operators; numerical range ... See more keywords
Fuglede–Putnam type theorems for (p,k)$(p,k)$-quasihyponormal operators via hyponormal operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2073-z
Abstract: For Hilbert space operators S, X, and T, (S,X,T)∈FP$(S,X,T)\in FP$ means Fuglede–Putnam theorem holds for triplet (S,X,T)$(S,X,T)$, that is, SX=XT$SX=XT$ ensures S∗X=XT∗$S^{\ast }X=XT^{\ast }$. Similarly, (S,T)∈FP$(S,T)\in FP$ means (S,X,T)∈FP$(S,X,T)\in FP$ holds for each operator X.… read more here.
Keywords: putnam type; hyponormal operators; type theorems; fuglede putnam ... See more keywords