On the solution of an integral equation appearing in displacement problems.
Fahmy, M.H., Abdou, M.A., Darwish, M.A. (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
Fahmy, M.H., Abdou, M.A., Darwish, M.A. (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
Valter Šeda (1983)
Annales Polonici Mathematici
Similarity:
Basheleishvili, Michael (1995)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
David Ruelle (1989)
Recherche Coopérative sur Programme n°25
Similarity:
David Ruelle (1989)
Recherche Coopérative sur Programme n°25
Similarity:
A. Buraczewski (1974)
Colloquium Mathematicae
Similarity:
M. Schechter, Robert Whitley (1988)
Studia Mathematica
Similarity:
David Cramer, Yuri Latushkin (2007)
Banach Center Publications
Similarity:
We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
K. Atkinson (1972)
Numerische Mathematik
Similarity:
Jacobus J. Grobler, Heinrich Raubenheimer, Andre Swartz (2016)
Czechoslovak Mathematical Journal
Similarity:
We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index.
Gleason, Jim (2001)
Georgian Mathematical Journal
Similarity:
Robert Israel (1974)
Studia Mathematica
Similarity:
Bogdan Bojarski, Giorgi Khimshiashvili (2005)
Open Mathematics
Similarity:
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.
M. Berkani, M. Sarih (2001)
Studia Mathematica
Similarity:
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...