Results 21 to 30 of about 70,365 (263)

Orthogonality preserving property for pairs of operators on Hilbert $C^*$-modules

open access: yes, 2021
We investigate the orthogonality preserving property for pairs of mappings on inner product $C^*$-modules extending existing results for a single orthogonality-preserving mapping.
Frank, Michael   +2 more
core   +1 more source

On Stokes operators with variable viscosity in bounded and unbounded domains [PDF]

open access: yesMathematische Annalen, 2008
The authors consider the Stokes problem with non-constant viscosity \(\nu(x)\) in bounded or unbounded domains in \(\mathbb R^d\). They assume \(\nu(x) = \nu_\infty + \nu'(x)\), \(\nu' \in W^{1,r_1}(\Omega)\) and \(\partial \Omega \in W^{2-1/r_2,r_2}\) with ...
Abels, Helmut, Terasawa, Yutaka
openaire   +1 more source

Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part

open access: yesAxioms, 2022
The main result of the paper establishes the existence of a bounded weak solution for a nonlinear Dirichlet problem exhibiting full dependence on the solution u and its gradient ∇u in the reaction term, which is driven by a p-Laplacian-type operator with
Dumitru Motreanu
doaj   +1 more source

Lower bounds for unbounded operators and semigroups

open access: yesJournal of Operator Theory, 2017
Let $A$ be an unbounded operator on a Banach space $X$. It is sometimes useful to improve the operator $A$ by extending it to an operator $B$ on a larger Banach space $Y$ with smaller spectrum. It would be preferable to do this with some estimates for the resolvent of $B$, and also to extend bounded operators related to $A$, for example a semigroup ...
Batty, C, Geyer, F
openaire   +2 more sources

Extension of Spectral Scales to Unbounded Operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We extend the notion of a spectral scale to n-tuples of unbounded operators affiliated with a finite von Neumann Algebra. We focus primarily on the single-variable case and show that many of the results from the bounded theory go through in the unbounded
M. D. Wills
doaj   +1 more source

A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES

open access: yesПроблемы анализа, 2019
In this article, we prove that the two-parameter family of operators Ab,c is bounded on the weighted Bergman spaces B p α+c−1 if α + 2 < p and unbounded if α + 2 = p.
S. Naik, P. K. Nath
doaj   +1 more source

The LQ/KYP problem for infinite-dimensional systems [PDF]

open access: yesOpuscula Mathematica, 2017
Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators.
Piotr Grabowski
doaj   +1 more source

Approximation of the Hilbert transform in the Lebesgue spaces

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
doaj   +1 more source

Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms

open access: yesMathematics, 2023
In the present work, an initial boundary value problem (IBVP) for the semi-linear delay differential equation in a Banach space with unbounded positive operators is studied.
Allaberen Ashyralyev   +1 more
doaj   +1 more source

On-Line Monitoring for Temporal Logic Robustness [PDF]

open access: yes, 2014
In this paper, we provide a Dynamic Programming algorithm for on-line monitoring of the state robustness of Metric Temporal Logic specifications with past time operators.
A. Bakirtzis   +13 more
core   +1 more source

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