On the spectral flow and the index theorem for flat vector bundles
Krzysztof Wojciechowski (1983)
Banach Center Publications
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Displaying similar documents to “General spectral flow formula for fixed maximal domain”
On the spectral flow and the index theorem for flat vector bundles
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.
Himpel, Benjamin (2005)
Geometry & Topology
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Approximation by Fredholm operators in the metric space of closed operators
L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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Spectral analysis on singular spaces
Jochen Brüning (1989)
Journées équations aux dérivées partielles
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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.
Subspace gaps and Weyl's theorem for an elementary operator.
Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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Spectral properties of a certain class of Carleman operators
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.
Models of function type for commutative symmetric operator families in Krein spaces.
Strauss, Vladimir (2008)
Abstract and Applied Analysis
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