Results 1 to 10 of about 600 (41)

Global Perturbation of Nonlinear Eigenvalues

Advanced Nonlinear Studies, 2021
This paper generalizes the classical theory of perturbation of eigenvalues up to cover the most general setting where the operator surface 𝔏:[a,b]×[c,d]→Φ0⁢(U,V){\mathfrak{L}:[a,b]\times[c,d]\to\Phi_{0}(U,V)}, (λ,μ)↦𝔏⁢(λ,μ){(\lambda,\mu)\mapsto\mathfrak ...
López-Gómez Julián, Sampedro Juan Carlos   +1 more
doaj   +1 more source

Generalized lower characteristic involving measures of non-strict singularity

Topological Algebra and its Applications, 2023
This work establishes a connection between the class of generalized lower characteristic operators and [⋅]a{\left[\cdot ]}_{a} acting on a Banach space involving measures of non-strict singularity.
Baraket Sami, Ghorbal Anis Ben, Jeribi Aref   +2 more
doaj   +1 more source

On (m, P)-expansive operators: products, perturbation by nilpotents, Drazin invertibility

Concrete Operators, 2021
A generalisation of m-expansive Hilbert space operators T ∈ B(ℋ) [18, 20] to Banach space operators T ∈ B(𝒳) is obtained by defining that a pair of operators A, B ∈ B(𝒳) is (m, P)-expansive for some operator P ∈ B(𝒳) if Δ A,Bm(P)= (I-LARB)m(P)=∑j=0m(-1)j(
Duggal B.P.
doaj   +1 more source

Structure of n-quasi left m-invertible and related classes of operators

Demonstratio Mathematica, 2020
Given Hilbert space operators T,S∈B(ℋ)T,S\in B( {\mathcal H} ), let Δ\text{Δ} and δ∈B(B(ℋ))\delta \in B(B( {\mathcal H} )) denote the elementary operators ΔT,S(X)=(LTRS−I)(X)=TXS−X{\text{Δ}}_{T,S}(X)=({L}_{T}{R}_{S}-I)(X)=TXS-X and δT,S(X)=(
Duggal Bhagwati Prashad, Kim In Hyun
doaj   +1 more source

Spectrum perturbations of compact operators in a Banach space

Open Mathematics, 2019
For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
doaj   +1 more source

Perturbation of eigenvalues of matrix pencils and optimal assignment problem [PDF]

, 2004
We consider a matrix pencil whose coefficients depend on a positive parameter $\epsilon$, and have asymptotic equivalents of the form $a\epsilon^A$ when $\epsilon$ goes to zero, where the leading coefficient $a$ is complex, and the leading exponent $A ...
Baccelli, Bapat, Burkard, Cuninghame-Green, Lidskiı̆, Lidskiı̆, Ma, Marianne Akian, Moro, Najman, Ravindra Bapat, Schrijver, Stéphane Gaubert, Višik   +13 more
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On a problem in eigenvalue perturbation theory [PDF]

, 2015
We consider additive perturbations of the type $K_t=K_0+tW$, $t\in [0,1]$, where $K_0$ and $W$ are self-adjoint operators in a separable Hilbert space $\mathcal{H}$ and $W$ is bounded.
Gesztesy, Fritz, Naboko, Sergey N., Nichols, Roger   +2 more
core   +1 more source

Finite rank perturbations and solutions to the operator Riccati equation [PDF]

, 2015
We consider an off-diagonal self-adjoint finite rank perturbation of a self-adjoint operator in a complex separable Hilbert space $\mathfrak{H}_0 \oplus \mathfrak{H}_1$, where $\mathfrak{H}_1$ is finite dimensional.
Großmann, Julian P.
core   +1 more source

Many parameter Hoelder perturbation of unbounded operators

, 2009
If $u\mapsto A(u)$ is a $C^{0,\alpha}$-mapping, for $0< \alpha \le 1$, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parametrized by $u$ in an (even infinite dimensional) space, then any ...
A. Frölicher, A. Kriegl, Andreas Kriegl, Armin Rainer, C.-A. Faure, C.-A. Faure, H. Weyl, J. Boman, J. Dieudonné, Peter W. Michor, R. Bhatia   +10 more
core   +1 more source

Structure of the tree component in an area of riparian forest in the Piratini River Basin, Rio Grande do Sul, Brazil [PDF]

Biotemas, 2009
The vegetation studied belongs to the Pampa biome. The vegetation of this region is described as Open Arboreal Savanna because it presents a herb stratum and an arboreal stratum with a gallery forest.
Luciano Rodrigues Soares, Rogério Soares Ferrer   +1 more
doaj