On the spectral flow and the index theorem for flat vector bundles
Krzysztof Wojciechowski (1983)
Banach Center Publications
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Krzysztof Wojciechowski (1983)
Banach Center Publications
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Himpel, Benjamin (2005)
Geometry & Topology
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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Jochen Brüning (1989)
Journées équations aux dérivées partielles
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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.
Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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S. M. Bahri (2007)
Archivum Mathematicum
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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of and then using the Stieltjes inversion formula.
Strauss, Vladimir (2008)
Abstract and Applied Analysis
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Prykarpatsky, Yarema A., Samoilenko, Anatoliy M., Prykarpatsky, Anatoliy K. (2005)
Applied Mathematics E-Notes [electronic only]
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