Results 11 to 20 of about 100,158 (234)
On the Differentiability of Weak Solutions of an Abstract Evolution Equation with a Scalar Type Spectral Operator on the Real Axis [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 Given the abstract evolution equation y′(t)=Ay(t), t∈R, with scalar type spectral operator A in a complex Banach space, found are conditions necessary and sufficient for all weak solutions of the equation, which a priori need not be strongly ...
Marat V. Markin
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On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials
Demonstratio Mathematica, 2020 Abstract Generalizing the case of a normal operator in a complex Hilbert space, we give a straightforward proof of the non-hypercyclicity of a scalar type spectral operator A in a complex Banach space as well as of the collection
Marat V Markin
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Scalar-type spectral operators and holomorphic semigroups
Semigroup Forum, 1986 We show that a linear operator (possibly unbounded), A, on a reflexive Banach space, X, is a scalar-type spectral operator, with non-negative spectrum, if and only if the following conditions hold. (1) A generates a uniformly bounded holomorphic semigroup \(\{e^{- zA}\}_{Re(z)\geq 0}.\) (2) If \(F_ N(s)\equiv \int^{N}_{-N}\frac{\sin (sr)}{r}e^{irA}dr\),
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Algebras of unbounded scalar-type spectral operators [PDF]
Pacific Journal of Mathematics, 1987 The main result of the paper is as follows. Let P:\(\Sigma\to L(X)\) be a closed spectral measure on the quasicomplete locally convex space X and T a densely defined linear operator on X with domain invariant under each operator of the form \(\int_{\Omega}fdP\), where f is a complex bounded \(\Sigma\)-measurable function.
Dodds, P.G. (author) +1 more
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On the characterization of scalar type spectral operators [PDF]
Studia Mathematica, 2008 The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
P. A. Cojuhari, A. M. Gomilko
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Analysis of non scalar control problems for parabolic systems by the block moment method
Comptes Rendus. Mathématique, 2023 This article deals with abstract linear time invariant controlled systems of parabolic type. In [9], with A. Benabdallah, we introduced the block moment method for scalar control operators.
Boyer, Franck, Morancey, Morgan
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The mixed Yamabe problem for harmonic foliations [PDF]
, 2015 The mixed scalar curvature of a foliated Riemannian manifold, i.e., an averaged mixed sectional curvature, has been considered by several geometers. We explore the Yamabe type problem: to prescribe the constant mixed scalar curvature for a foliation by a
Rovenski, Vladimir, Zelenko, Leonid
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On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
Mathematics, 2019 We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain ...
Marat V. Markin, Edward S. Sichel
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On Boolean algebras of projections and scalar-type spectral operators [PDF]
Proceedings of the American Mathematical Society, 1983 It is shown that the weakly closed operator algebra generated by an equicontinuous σ \sigma -complete Boolean algebra of projections on a quasi-complete locally convex space consists entirely of scalar-type operators. This extends W. Badé’s well-known theorem that the same assertion is valid for Banach spaces; however, the technique of
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Quantum-induced interactions in the moduli space of degenerate BPS domain walls [PDF]
, 2014 In this paper quantum effects are investigated in a very special two-scalar field model having a moduli space of BPS topological defects. In a $(1+1)$-dimensional space-time the defects are classically degenerate in mass kinks, but in $(3+1)$ dimensions ...
Alonso-Izquierdo, Alberto +1 more
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