J-self-adjoint operator
J self adjoint extensions for second order linear difference equations with complex coefficients
... a J-self-adjoint extension have been investigated in [, ...the J-self-adjoint subspace extensions and J-self-adjoint operator ex- tensions of the ...
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Spectral properties of unbounded J-self-adjoint block operator matrices
... Further, we prove some results concerning the properties of M considered as an operator in a Krein space. In particular, we prove that spectral points in a certain interval are of positive type, and therefore ...
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Triple variational principles for self-adjoint operator functions
... It is our aim to show spectral enclosures and variational principles for eigenvalues of operator functions. In the 1950s R.J. Duffin [6] proved a variational principle for eigenvalues of certain quadratic matrix ...
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FUNCTIONAL ORDER DERIVATIVES AND THE $J^{\alpha_m}$ OPERATOR
... the self-adjoint operator conjugate to the coordinate op- erator ...identity operator. The standard, and simplest, form of the K operator is K = −iD, where the symbol i denotes the ...
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CONDITIONAL SOLVABILITY OF THE BOUNDARY VALUE PROBLEM OF A SELF-ADJOINT OPERATOR-DIFFERENTIAL EQUATIONS IN A SOBOLEV-TYPE SPACE
... order self-adjoint differential operator with compli- cated characteristics, we demonstrated the association between the coefficients of the differential operator and conditions of the regular ...
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TIME OPERATOR: THE CHALLENGE PERSISTS
... positive operator valued (POV) measures. In some ocassions, when an operator was born with an anatomic defect, it was corrected by a ‘self-adjoint surgery’ and a final solution was announced ...
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Variational principles for self-adjoint operator functions arising from second order systems
... In [7] R. J. Duffin proved a variational principle for eigenvalues of a quadratic ma- trix polynomial, which was generalized in various directions to more general operator functions; see, e.g. the ...
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Some remarks on the notions of boundary systems and boundary triple(t)s
... From Proposition 4 it follows that if there is no skew-self-adjoint extension for a skew-symmetric operator, then there is no boundary triplet for this operator either. The situation is ...
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Local two-sided bounds for eigenvalues of self-adjoint operators
... 28. Knyazev, A.V.: Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem. Sov. J. Numer. Anal. Math. Model. 2, 371–396 (1987). (Translated from the Russian) 29. Strang, G., Fix, ...
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Spectrum of J-frame operators
... A J-frame is a frame F for a Krein space (H , [· , ·]) which is compatible with the indefinite inner product [ · , · ] in the sense that it induces an indefinite reconstruction formula that resembles those ...
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Some self adjoint quantum semimartingales
... and this enables us to work with the bounded adapted gradient (as opposed to the unbounded gradient operator ∇ of the Malliavin calculus). The fact that 0- adaptedness is not required in the proof of Theorem 3.32 ...
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On the spectrum of self-adjoint Lévy generators
... For a long time, necessary and sufficient conditions have been known for when such an operator is self–adjoint and this material has recently been reviewed in Chapter 4 of [2]. Such operators are of ...
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Some quantum f-divergence inequalities for convex functions of self-adjoint operators
... In the important case of finite dimensional space H and the generalized inverse P −1 , numerous properties of the quantum f -divergence, mostly in the case when f is operator convex, have been obtained in the ...
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NEW MODEL TRANSFORMATION USING REQUIREMENT TRACEBILITY FROM REQUIREMENT TO UML BEHAVIORAL DESIGN
... In this paper, use the way of weight function and the theory of operators. A new Hilbert-type integral operator is considered which an extension of the result is in [3]. As for applications, an extended ...
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A non self-adjoint model on a two dimensional noncommutative space with unbound metric
... In this paper we show that, if the non commutativity is restricted to the spatial vari- ables only, i.e. if ˜ θ = 0, then ˆ H , and a slightly generalized version of it, can be exactly diagonalized in terms of D -pbs. ...
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... [8] I. M. Gelfand, B. M. Levitan, On the determination of a differential equation from its spectral function, Amer. Math. Soc. Transl. Ser., 2 (1) (1955) 253–304. [9] M. Shahriari, A. Jodayree Akbarfama, G. Teschl, ...
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THE CONVERGENCES AND ANALYTIC OF THE FUNCTION ?(t,x)
... the self- adjoint Schrödinger operator may be defined by a quadratic form and the spectrum of the operator is purely absolutely ...Schrödinger operator and is the potential which is a ...
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8. More operator inequalities for positive linear maps
... holds for every self adjoint operator A on H whose spectrum is contained in [m, M ]. As a special case of inequality (1.1), the authors in [8, Theorem 1.21] established the following generalization ...
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Quasi boundary triples and semibounded self-adjoint extensions
... semibounded self-adjoint extensions of symmetric op- erators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl ...induce self-adjoint re- ...
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Weighted Composition Operators and Supercyclicity Criterion
... From now on let H be a Hilbert space of analytic functions on the open unit disc D such that H contains constants and the functional of evaluation at λ is bounded for all λ in D. Also let ϕ : D → C be a nonconstant ...
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