Results 11 to 20 of about 443 (51)
The transfer ideal under the action of orthogonal group in modular case
In this paper, we study the structures of the invariant subspaces under the action of orthogonal group O2ν(Fq,S){O}_{2\nu }\left({F}_{q},S). In particular, we give a detailed description of 2-codimensional invariant subspaces.
Lingli Zeng
doaj +1 more source
Linear isomorphic spaces of fractional-order difference operators
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine +3 more
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The invariant subspaces of S ⊕ S*
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspaces of the operator S ⊕ S*, where S is the unilateral shift on a Hilbert space. This answers a question of Câmara and Ross.
Timotin Dan
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On some nonlinear parabolic equations with variable exponents and measure data
We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.
Hamdaoui Bouchra El, Bennouna Jaouad
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Proper contractions and invariant subspaces
Let T be a contraction and A the strong limit of {T∗nTn}n ≥ 1. We prove the following theorem: if a hyponormal contraction T does not have a nontrivial invariant subspace, then T is either a proper contraction of class 𝒞00 or a nonstrict proper contraction of class 𝒞10 for which A is a completely nonprojective nonstrict proper contraction.
C. S. Kubrusly, N. Levan
wiley +1 more source
Some remarks on the invariant subspace problem for hyponormal operators
We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.
Vasile Lauric
wiley +1 more source
Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space
In this paper, we present the existence of n-tuple of operators on complex Hilbert space that has a somewhere dense orbit and is not dense. We give the solution to the question stated in [11]: “Is there n-tuple of operators on a complex Hilbert space ...
Wilberth Neema +2 more
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Hyperinvariant subspaces for some operators on locally convex spaces
Some results concerning hyperinvariant subspaces of some operators on locally convex spaces are considered. Denseness of a class of operators which have a hyperinvariant subspace in the algebra of locally bounded operators is proved.
Edvard Kramar
wiley +1 more source
Cohyponormal operators with the single valued extension property
It is proved that in order to find a nontrivial hyperinvariant subspace for a cohyponormal operator it suffices to make the further assumption that the operator have the single‐valued extension property.
Ridgley Lange, Shengwang Wang
wiley +1 more source
A few results on some nonlinear parabolic problems in Orlicz-Sobolev spaces
In this paper, we present our results (see our papers), which concern the existence of the renormalized solutions for equations of the type:
Redwane Hicham
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