Similarity of operators and geometry of eigenvector bundles [PDF]
We characterize the contractions that are similar to the backward shift in the Hardy space H².
Kwon, H.-K., Treil, S.
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Similarity of Operators in the Bergman Space Setting
We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G.+2 more
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Applications of Automata and Graphs: Labeling-Operators in Hilbert Space I [PDF]
We show that certain representations of graphs by operators on Hilbert space have uses in signal processing and in symbolic dynamics. Our main result is that graphs built on automata have fractal characteristics.
Fannes M.+11 more
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Some Trace Inequalities for Operators in Hilbert Spaces [PDF]
Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for power series of such operators are given.
Dragomir, Silvestru Sever
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Plus-Minus Property as a Generalization of the Daugavet Property [PDF]
2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
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Power vector inequalities for operator pairs in Hilbert spaces and their applications
This study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla+2 more
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
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Closed Unitary and Similarity Orbits of Normal Operators in Purely Infinite C*-Algebras
We will investigate the norm closure of the unitary and similarity orbits of normal operators in unital, simple, purely infinite C*-algebras. An operator theoretic proof will be given to the classification of when two normal operators are approximately ...
Skoufranis, Paul
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Some quantum f-divergence inequalities for convex functions of self-adjoint operators [PDF]
In this paper, some new inequalities for convex functions of self-adjoint operators are obtained. As applications, we present some inequalities for quantum $f$-divergence of trace class operators in Hilbert ...
Darvish, V+3 more
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Some Inequalities for Trace Class Operators Via a Kato's Result [PDF]
By the use of the celebrated Kato's inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H.
Dragomir, Silvestru Sever
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