Spectral Theorem for Bounded Normal Operators
The Spectral Theorem for Quaternionic Unbounded Normal Operators Based on the S-Spectrum
... the spectral theorem for quaternionic un- bounded normal operators using the notion of ...a spectral theorem for quaternionic bounded normal operators ...
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The Spectral Theorem for Self-Adjoint Operators
... The Spectral Theorem addresses this problem by extending the definition of f (A) from polynomials to a broader class of ...The Spectral Theorem is a fundamental result in operator theory and ...
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
... the spectral operators of scalar type, the well-known characteriza- tions of the generation of C 0 - and analytic semigroups of bounded linear operators can be reformulated exclusively in ...
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Spectral dissection of finite rank perturbations of normal operators
... space operators were studied for at least a century, for instance for their far reaching connections with function theory of a complex variable, boundary value problems of mathematical physics or for applications ...
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Spectral Theory for Generalized Bounded Variation Perturbations of Orthogonal Polynomials and Schrödinger Operators
... a theorem of Bochner [5] (see also [31, Section ...the spectral theory of orthogonal polynomials, orthogonality and the recurrence relation are cornerstones of the theory, so spectral theory focuses ...
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Spectral Theory for Generalized Bounded Variation Perturbations of Orthogonal Polynomials and Schrödinger Operators
... a theorem of Bochner [5] (see also [31, Section ...the spectral theory of orthogonal polynomials, orthogonality and the recurrence relation are cornerstones of the theory, so spectral theory focuses ...
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A multidimensional Borg-Levinson theorem for magnetic Schrödinger operators with partial spectral data
... Schrödinger operators which means recovery of both coefficients of order one and zero in contrast to [10, 14, 16] where only determination of coefficients of order zero is ...
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A Spectral Analysis of Linear Operator Pencils on Banach Spaces with Application to Quotient of Bounded Operators
... of operators defined on a Banach space X with values in another Banach space Y which is not necessarily equal to ...a spectral characterization on quo- tient operators through that we have ...
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Characterization Theorem of Generalized Operators
... Northwest Normal University, Lanzhou, China Abstract In this paper, by using the W-transform of an operator on white noise func- tionals, we establish a general characterization theorem for operators ...
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SPECTRAL DUALITY FOR UNBOUNDED OPERATORS
... The distinction between the discrete and continuous models is illustrated with examples from the theory of stochastic processes. In Section 3 we show that the framework of graph Laplacians is included in the setup. ...
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Spectral Theory of PauliFierz Operators
... Some of the results of our paper are quite general. These results concern spectral analysis of a relatively arbitrary linear operator and are related to the Feshbach method. Similar ideas can be found throughout ...
The Fuglede Putnam theorem for quasihyponormal operators
... injective bounded linear operator with dense range then T is a normal operator unitarily equivalent to ...injective bounded linear operator with dense range then T is a normal operator ...
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Weyl’s theorem for analytically hyponormal operators
... (d) If T is p-hyponormal or M-hyponormal, then T has finite ascent. Suppose T ∈ B(X) is p-hyponormal or M-hyponormal operator, then T is polar- oid and the Weyl’s theorem holds for T . In fact, we need to prove ...
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A New Extension Theorem for Concave Operators
... Throughout this paper, unless other specified, we always suppose that X and Y are real linear spaces, θ is the zero element in both X and Y with no confusion, K ⊂ Y is a pointed convex cone, and the partial order ≤ on a ...
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The uniform boundedness principle for order bounded operators
... In order to obtain our version of the Uniform Boundedness Principle for ordered spaces, we first obtain a matrix theorem which is the analogue for ordered spaces of the matrix result giv[r] ...
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Spectral optimization problems for Schrödinger operators
... In several situations the optimal measure µ opt given by Theorem 9.9 has more regularity or summability properties than a general element of M cap (D).This happens in the cases below: – If the functional F is ...
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Extension of Spectral Scales to Unbounded Operators
... We can write b b 1 ib 2 , where b 1 and b 2 are self-adjoint and so we can define the spectral scale of b to be Bb : Bb 1 , b 2 . It turns out that the boundary of Wb is exactly the set of radial complex slopes on ...
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Spectral approximation of aperiodic Schrödinger operators
... the spectral properties do not vary too much? On the other hand, it is common to approximate such an operator whenever the operator H is difficult to ...many spectral properties of the original ...
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BOUNDED LINEAR OPERATORS ON FINITE DIMENSIONAL PROBABILISTIC NORMED
... Linear operators in probabilistic normed spaces were first studied by Lafuerza-Guill´ en, Rodr´ıguez-Lallena, and Sempi in [6] and ...state Theorem 17 which is required in the ...
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Generalized super Gabor duals with bounded invertible operators
... some bounded invertible operator? To answer Question 1, we in the following theorem provide a sufficient condition for φ such that h is a generalized super Gabor dual of φ with (U φ U h ∗ ) −1 ...
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