Fredholm linear operators associated with ordinary differential equations on noncompact intervals.

Cecchi, Mariella; Furi, Massimo; Marini, Mauro; Pera, Maria Patrizia

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Displaying similar documents to “Fredholm linear operators associated with ordinary differential equations on noncompact intervals.”

Bifurcation results for a class of perturbed Fredholm maps.

Benevieri, Pierluigi, Calamai, Alessandro (2008)

Fixed Point Theory and Applications [electronic only]

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An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.

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Best Fredholm perturbation theorems

M. Schechter, Robert Whitley (1988)

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The geometry of Kato Grassmannians

Bogdan Bojarski, Giorgi Khimshiashvili (2005)

Open Mathematics

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We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.

An Atkinson-type theorem for B-Fredholm operators

M. Berkani, M. Sarih (2001)

Studia Mathematica

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Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only...