Results 11 to 20 of about 2,144 (211)
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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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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When is a non-self-adjoint Hill operator a spectral operator of scalar type? [PDF]
Comptes Rendus. Mathématique, 2005 5 ...
Gesztesy, Fritz, Tkachenko, Vadim
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OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Radio Physics and Radio Astronomy, 2018 Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
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ON REFLEXIVITY OF SCALAR-TYPE SPECTRAL OPERATORS
Demonstratio Mathematica, 1999 \(X\) is said to be a locally convex \(C(K)\)-module if the bilinear mapping \(C(K)\times X\to X:(a, x)\to ax\) satisfies the following conditions: (i) 1. \(x= x\) for all \(x\) in \(X\), (ii) \((a,b)x= a.(bx)\) \((a\in C(K),b\in C(K),x\in X)\), (iii) the bilinear mapping is separately continuous. Here \(K\) is a compact Hausdorff space.
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Bounds for OPE coefficients on the Regge trajectory
Journal of High Energy Physics, 2017 We consider the Regge limit of the CFT correlation functions JJOO $$ \left\langle \mathcal{JJOO}\right\rangle $$ and T T O O $$ \left\langle TT\mathcal{O}\mathcal{O}\right\rangle $$ , where J $$ \mathcal{J} $$ is a vector current, T is the stress tensor ...
Miguel S. Costa +2 more
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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
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Boolean algebras of projections and resolutions of the identity of scalar-type spectral operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 1997 Let Μ be a Bade complete (or σ-complete) Boolean algebra of projections in a Banach space X. This paper is concerned with the following questions: When is Μ equal to the resolution of the identity (or the strong operator closure of the resolution of the identity) of some scalar-type spectral operator T (with σ(T) ⊆ ℝ) in X?
De Pagter, B., Ricker, W. J.
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source