Results 11 to 20 of about 130 (58)

Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces

, 2014
We give some ratio and difference reverses of the Cauchy–Schwarz inequality for complex functions of self-adjoint operators in Hilbert spaces, under suitable assumptions for the involved operators.
S. Dragomir, M. Moslehian, Y. Cho
semanticscholar   +1 more source

Note on a Family of Monotone Quantum Relative Entropies [PDF]

, 2015
Given a convex function $\varphi$ and two hermitian matrices $A$ and $B$, Lewin and Sabin study in [M. Lewin, J. Sabin, {\it A Family of Monotone Quantum Relative Entropies}, Lett. Math. Phys.
Deuchert, Andreas, Hainzl, Christian, Seiringer, Robert   +2 more
core   +4 more sources

Weak compactness of operators acting on o–O type spaces [PDF]

, 2014
We consider operators T : M_0 -> Z and T : M -> Z, where Z is a Banach space and (M_0, M) is a pair of Banach spaces belonging to a general construction in which M is defined by a "big-O" condition and M_0 is given by the corresponding "little-o ...
Bessaga, Diestel, Harmand, Karl-Mikael Perfekt, Lefèvre, Lefèvre, Leiĭbov, Siskakis   +7 more
core   +2 more sources

Some Slater\u27s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]

, 2016
Some trace inequalities of Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir Silvestru Sever
core   +5 more sources

Similarity of operators and geometry of eigenvector bundles [PDF]

, 2009
We characterize the contractions that are similar to the backward shift in the Hardy space H².
Kwon, H.-K., Treil, S.
core   +3 more sources

Applications of Automata and Graphs: Labeling-Operators in Hilbert Space I [PDF]

, 2008
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., Gibbons A., Gill A., Hopcroft J. E., Ilwoo Cho, Kadison R. V., Marshall C. W., Palle E. T. Jorgensen, Scapellato R., Schiff J. L., Speicher R., Voiculescu D.   +11 more
core   +2 more sources

Similarity of Operators in the Bergman Space Setting

, 2012
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., Kwon, Hyun-Kyoung, Treil, Sergei   +2 more
core   +1 more source

Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
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
core  

Power vector inequalities for operator pairs in Hilbert spaces and their applications

Open Mathematics
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, Dragomir Silvestru Sever, Feki Kais   +2 more
doaj   +1 more source

Plus-Minus Property as a Generalization of the Daugavet Property [PDF]

, 2010
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
core