Results 131 to 140 of about 2,211 (224)

Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function

open access: yes, 2020
© 2018, Pleiades Publishing, Ltd. We propose a new convenient for mathematical investigation formulation of the lasing eigenvalue problem as a spectral problem for an operator-valued function, which involves boundary integral operators.
Spiridonov A., Karchevskii E., Nosich A.
core  

Cyclic behaviour of Volterra composition operators

open access: yes, 2011
We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin   +5 more
core   +1 more source

Evaluation of integrals for the emptiness formation probability in the square-ice model

open access: yesNuclear Physics B
We study the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. We present a conjecture according to which at the ice point, i.e., when all the Boltzmann weights are equal, the known multiple integral ...
F. Colomo, A.G. Pronko
doaj   +1 more source

Closed Fredholm and semi-Fredholm operators, essential spectra and perturbations

open access: yes, 1975
In these notes we provide rather extensive characterizations of closed densely defined Fredholm and semi-Fredholm operators on a Banach space, and their perturbation classes.
Williams, Vernon
core   +1 more source

The image of a closed convex set under a Fredholm operator

open access: yes, 2014
International audienceThe purpose of this article is two-fold. In the first place, we prove that a set is the image of a non empty closed convex subset of a real Banach space under an onto Fredholm operator of positive index if and only if it can be ...
Ernst, Emil
core   +1 more source

On the space of Fredholm operators

open access: yes, 2000
We describe two topologies on the space of unbounded Fredholm operators and we explain their K-theoretic relevance. In the process we also prove a very general result concerning the continuity of families of first order, elliptic boundary value problems.
openaire   +2 more sources

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