selfadjoint operator
Non selfadjoint operator algebras generated by unitary semigroups
... In this section, we will focus on nest algebras, which have been studied intensely in the last 50 years ([15, 57]), since their consideration by Ringrose in [64]. Their importance, even in finite-dimensions, lies in the ...
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Structure of the antieigenvectors of a strictly accretive operator
... STATIONARY VALUF OF ^I’ FOR SELFADJOINT OPERATORS For a selfadjoint operator A we can obtain the structure of the stationary vectors of RAf which is obviously equal to ^f in this case, i[r] ...
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Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... Theorem 2 (Dragomir, 2008, [17]). Let A be a selfadjoint operator on the Hilbert space (H, h., .i) with the spectrum Sp (A) ⊆ [m, M] for some real numbers m < M. If f, g : [m, M ] −→ R are continuous and ...
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Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
... The following result provides reverses for the inequalities (2.2) and (2.3) above: Theorem 2.2. Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M ...
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Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Čebyšev's Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Inequalities of Hermite-Hadamard type for functions of selfadjoint operators and matrices
... a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) 0 for any t ∈ Sp (A) implies that f (A) 0, ...positive operator on ...
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Some Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Refinements of the Cauchy-Bunyakovsky-Schwarz Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator and f is a real valued continuous function on SpA, then ft ≥ 0 for any t ∈ SpA implies that fA ≥ 0, that is, fA is a positive operator on ...
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator on the Hilbert space (H; h :; : i ) with the spectrum Sp (U ) included in the interval [m; M] for some real numbers m < M and let f E g 2R be its spectral ...
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Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces
... Let A be a selfadjoint operator with Sp (A) ⊆ [m, M] for some real num- bers m < M. If f, g : [m, M ] −→ R are continuous, synchronous and one is convex while the other is concave on [m, M] , then by ...
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Some Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A: If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) 0 for any t 2 Sp (A) implies that f (A) 0; i:e: f (A) is a positive ...
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Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... a selfadjoint operator A. If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...positive ...
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Operator inequalities associated with relative operator entropies
... relative operator (α , β )-entropy and Tsallis relative operator (α, β )-entropy was defined in [14] as a parameter extensions of relative operator entropy and Tsallis relative op- erator ...relative ...
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A boundary value problem for the wave equation
... is considered. It is shown there that, in a characteristic cone, it is possible to construct symmetric Green functions which will convert the operator L of (5.1) to a selfadjoint integral operator. ...
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Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ...
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On the spectra of non selfadjoint differential operators and their adjoints in direct sum spaces
... Definition 2.2 . The resolvent set ρ(S) of a closed operator S in H, con- sisting of the complex numbers λ for which (S − λI) −1 exists, is defined on H and is bounded. The complement of ρ(S) in C is called the ...
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Edge Detection Algorithm Based on the Top hat Operator
... Top-hat operator has characteristics of high-pass ...Top-hat operator has more advantages in the process of edge detection, It can effectively identify the target in various backgrounds; extract a ...
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