Results 21 to 30 of about 60 (58)

Pairs of closed geodesics in metric graphs

open access: yesDemonstratio Mathematica
In this paper we study the counting pairs of closed geodesics on metric graphs. We obtain an asymptotic for the number of pairs of closed geodesics ordered by their word lengths on the metric graph, such that the difference of their geometric lengths ...
Saif Al Abri Al Jalila
doaj   +1 more source

Nilpotent perturbations of m-isometric and m-symmetric tensor products of commuting d-tuples of operators

open access: yesDemonstratio Mathematica
If T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
doaj   +1 more source

The basic propositions on defect numbers, root numbers and indices of linear operators [PDF]

open access: yes, 2020
: In this work, we use the notion of the measure of noncompactness in order to establish some results concerning the class of semi-Fredholm and Fredholm operators.
Weidmann   +13 more
core  

Operators with equal projections related to their generalized inverses [PDF]

open access: yes, 2004
In this article we characterize operators on Banach spaces which have the same projections related to their outer or inner generalized inverses. As corollaries, we obatin well-known results for the Drazin inverse of bounded operators. Keywords: Outer and
Yimin Wei, Dragan S Djordjević
core  

Spectral points of type π+ and type π- of closed operators in indefinite inner product spaces [PDF]

open access: yes, 2014
We introduce the notion of spectral points of type π+ and type π− of closed operators A in a Hilbert space which is equipped with an indefinite inner product. It is shown that these points are stable under compact perturbations.
Trunk, Carsten, Philipp, Friedrich
core  

Computation of Eigenvalues of Discrete Lower Semibounded Operators

open access: yes, 2016
Based on the Galerkin method, the formulas for eigenvalues of discrete lower semibounded operators were obtained. Numerical experiments demonstrated high accuracy and computational efficiency of them.
Galiya A Zakirova, Sergey I Kadchenko
core  

Perturbation Bounds For Isotropic Invariant Subspaces Of Skew-Hamiltonian Matrices

open access: yes, 2008
We investigate the behavior of isotropic invariant subspaces of skew-Hamiltonian matrices under structured perturbations. It is shown that finding a nearby subspace is equivalent to solving a certain quadratic matrix equation.
Daniel Kressner
core  

Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]

open access: yesMon Hefte Math, 2022
Kholmatov SY   +2 more
europepmc   +1 more source

© Hindawi Publishing Corp. REMARKS ON EMBEDDABLE SEMIGROUPS IN GROUPS AND A GENERALIZATION OF SOME CUTHBERT’S RESULTS

open access: yes, 2001
Let (U(t))t≥0 be a C0-semigroup of bounded linear operators on a Banach space X. In this paper, we establish that if, for some t0> 0, U(t0) is a Fredholm (resp., semi-Fredholm) operator, then (U(t))t≥0 is a Fredholm (resp., semi-Fredholm) semi-group ...
Khalid Latrach, Abdelkader Dehici
core  

On the Properties for Iteration of a Compact Operator with Unstructured Perturbation

open access: yes, 1996
. We consider certain speed estimates for Krylov subspace methods (such as GMRES) when applied upon systems consisting of a compact operator K with small unstructured perturbation B.
Jarmo Malinen
core  

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