Results 41 to 50 of about 2,695 (277)

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

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

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

Order compact and unbounded order compact operators

open access: yes, 2021
We investigate properties of order compact, unbounded order compact and relatively uniformly compact operators acting on vector lattices. An operator is said to be order compact if it maps an arbitrary order bounded net to a net with an order convergent ...
Gezer, Niyazi Anıl   +4 more
core   +1 more source

Spectral order for unbounded operators [PDF]

open access: yes, 2012
The spectral order, a notion originated by Olson for bounded operators, is investigated here in the context of unbounded operators. Dissimilarities between bounded and unbounded cases are pointed out.
Stochel, Jan, Płaneta, Artur
core   +1 more source

A new class of linear operators on ℓ2 and Schur multipliers for them

open access: yesJournal of Function Spaces and Applications, 2007
We introduce the space Bw(ℓ2) of linear (unbounded) operators on ℓ2 which map decreasing sequences from ℓ2 into sequences from ℓ2 and we find some classes of operators belonging either to Bw(ℓ2) or to the space of all Schur multipliers on Bw(ℓ2).
Anca-Nicoleta Marcoci   +1 more
doaj   +1 more source

On Bounded Part of an Algebra of Unbounded Operators

open access: yesPublications of the Research Institute for Mathematical Sciences, 1988
The author has characterized the symmetry of an \(Op^*\)-algebra \({\mathcal A}\) by topological properties of the bounded part \({\mathcal A}_ b\) of \({\mathcal A}:\) Theorem 1. (a) If \({\mathcal A}\) is symmetric, then \({\mathcal A}_ b\) is sequentially dense in any *-algebra topology \(\tau\) in \({\mathcal A}\) such that \(B_ 0\equiv \{T\in ...
openaire   +2 more sources

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators

open access: yesAdvances in Difference Equations, 2021
In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order 1 < α < 2 ...
Zainab Alsheekhhussain   +2 more
doaj   +1 more source

Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators

open access: yesCommunications in Advanced Mathematical Sciences, 2019
Let $A$ and $B$ be linear operators on a Hilbert space. Let $A$ and $A+B$ generate $C_0$-semigroups $e^{tA}$ and $e^{t(A+B)}$, respectively, and $e^{tA}$ be exponentially stable.
Michael Gil'
doaj   +1 more source

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