Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]
Mathematica MoravicaIn this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
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On operator inequalities and linear combinations of operators
Linear Algebra and its Applications, 1991 Given bounded linear operators \(A_1,\dots, A_k\), \(C\), and \(P\) on a Hilbert space, the author gives necessary and sufficient conditions for operator inequalities of type \(A_1 PA^*_1+\cdots A_k PA^*_k\geq CPC^*\) with \(P\geq 0\).
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On Ulyanov inequalities in Banach spaces and semigroups of linear operators
Journal of Approximation Theory, 2009 An equibounded semigroup \(\{T_X(t): t\geq0\}\) of class \(C_0\) given on a Banach space \((X, \|\cdot\|_X)\) is supposed to be compatible with \(\{T_Y(t): t\geq0\}\) given on a Banach space \((Y, \|\cdot\|_Y)\). The fractional power \((-A)^\alpha\), \(\alpha>0\), of the semigroup generator is introduced according to the second author [\textit{U ...
Walter Trebels, U. Westphal
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Inequalities for some Functionals Associated with Bounded Linear Operators in Hilbert Spaces
, 2006 Some inequalities between the operator norm, numerical radius and functional are established. New upper bounds for the nonnegative quantity that complement some recent results of the author are given as ...
Dragomir, Sever S
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Vector inequalities for powers of some operators in Hilbert spaces
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S, S.S. Dragomir
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Gaussian processes with linear operator inequality constraints
CoRR, 2019 Published in JMLR: http://jmlr.org/papers/volume20/19-065/19-065 ...
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General Weighted Opial Inequalities for Linear Differential Operators
Journal of Mathematical Analysis and Applications, 1999 .
Anastassiou, George A., Pečarić, J.
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Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
, 2006 Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are ...
Dragomir, Sever S., Dragomir, Sever S
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On Some Numerical Radius Inequalities Involving Generalized Aluthge Transform
Journal of Function Spaces, 2022 Let S be any bounded linear operator defined on a complex Hilbert space H. In this paper, we present some numerical radius inequalities involving the generalized Aluthge transform to attain upper bounds for numerical radius.
Javariya Hyder +3 more
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Opial Type Integral Inequalities for Widder Derivatives and Linear Differential Operators
International Journal of Analysis and Applications, 2015 In this paper we establish Opial type integral inequalities for Widder derivatives and linear di_erential operator. Also, for applications we construct some related inequalities as special cases.
Ghulam Farid, Josip Pecaric
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