Results 91 to 100 of about 485,398 (210)
Multiplication operators on the space of functions of bounded variation
Demonstratio Mathematica, 2017 In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R. +1 more
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On classes of Fredholm type operators
FilomatGiven an idempotent p in a Banach algebra and following the study in [6] of p-invertibility, we consider here left p-invertibility, right p-invertibility and p-invertibility in the Calkin Algebra C(X), where X is a Banach space. Then we define and study left and right generalized Drazin invertibility and we characterize left and right Drazin invertible
Hamdan, Alaa, Berkani, Mohammed
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Perturbation theory for generalized Fredholm operators. II
, 1977 If T is a bounded linear operator with generalized inverse S, i.e. T S T = T TST = T , we obtain conditions so that T − U T - U has a generalized inverse. When
S. R. Caradus
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Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces
Известия Иркутского государственного университета: Серия "Математика", 2016 We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
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Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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Fredholm Operators and Spectral Flow [PDF]
, 2016 These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.
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Vector valued logarithmic residues and the extraction of elementary factors [PDF]
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
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A note on the index of $B$-Fredholm operators [PDF]
, 2004 summary:From Corollary 3.5 in [Berkani, M; Sarih, M.; Studia Math. 148 (2001), 251–257] we know that if $S$, $ T$ are commuting $B$-Fredholm operators acting on a Banach space $X$, then $ST$ is a $B$-Fredholm operator.
Zariouh, Hassan +4 more
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Journal of Inequalities and Applications, 2008 The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader +3 more
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Bifurcation theory for Fredholm operators
Journal of Differential EquationsThis paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez +1 more
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