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Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Regular Fredholm pairs
(Theta Foundation, 2006-12)
In this work it is introduced the notion of regular Fredholm pair, i.e. a Fredholm pair whose operators are regular. The main properties of these objects are studied, and what is more, they are entirely classified. ...
Essential spectrum and fredholm properties for perators on locally compact groups
(Theta Foundation, 2017)
We study the essential spectrum and Fredholm properties of certain integral and pseudo-differential operators associated to non-commutative locally compact groups G. The techniques involve crossed product C*-algebras. We ...
Pairs of Projections: Geodesics, Fredholm and Compact Pairs
(Birkhauser Verlag Ag, 2014-08)
A pair (P,Q) of orthogonal projections in a Hilbert space H is called a Fredholm pair if QP:R(P)→R(Q)is a Fredholm operator. Let F be the set of all Fredholm pairs. A pair is called compact if P−Q is compact. Let C be the ...
A new method for comparing two Norm Hilbert spaces and their operators
(ELSEVIER SCIENCE BV, 2011)
The paper deals with operators on Norm Hilbert spaces over a Krull valued field K. By using carefully selected equivalent norms (i) the perturbation theory of Fredholm operators (see Ochsenius and Schikhof (2010) [7]) is ...
Metric and homogeneous structure of closed range operators
(Theta Foundation, 2009-08)
Let CR be the set of all bounded linear operators between Hilbert spaces H, K with closed range. This paper is devoted to the study of the topological properties of CR if certain natural metrics are considered on it. We ...
A note on preservation of spectra for two given operators
(Mathematica Bohemica, 2019)
On a formula for the spectral flow and its applications
(WILEY-V C H VERLAG GMBH, 2010)
We consider a continuous path of bounded symmetric Fredholm bilinear forms with arbitrary endpoints on a real Hilbert space, and we prove a formula that gives the spectral flow of the path in terms of the spectral flow of ...
The rectifiable distance in the unitary Fredholm group
(Polish Academy of Sciences. Institute of Mathematics, 2010-02)
Let Uc(H)={u:u unitary and u−1 compact} stand for the unitary Fredholm group. We prove the following convexity result. Denote by d∞ the rectifiable distance induced by the Finsler metric given by the operator norm in Uc(H). ...