Past Functional Analysis Seminar

17 January 2012
17:00
to
18:47
Simon Chandler-Wilde
Abstract
In this talk I will describe recent work by myself and others (E.B. Davies (KCL), M. Lindner (Chemnitz), S. Roch (Darmstadt)) on the spectrum and essential spectrum of bi-infinite and semi-infinite (not necessarily self-adjoin) tri-diagonal random operators, and the implications of these results for the spectra of associated random matrices, and for the finite section method for infinite tri-diagonal systems. A main tool will be limit operator methods, as described in Chandler-Wilde and Lindner, Memoirs AMS, 2011), supplemented by certain symmetry arguments including a Coburn lemma for random matrices.
  • Functional Analysis Seminar
29 November 2011
17:00
to
18:20
Elena Ushakova
Abstract
The talk presents a collection of results about mapping properties of the Hardy-Steklov operator $(Hf)(x)=\int_{a(x)}^{b(x)} f(y) dy$ in weighted Lebesgue spaces on the semi-axis. In particular, the explicit boundedness and compactness criteria for the operator are given and a number of applications are obtained. A part of the results is based on a joint paper with Prof. V.D. Stepanov
  • Functional Analysis Seminar
15 November 2011
17:00
to
18:37
Jani Virtanen
Abstract
I will briefly discuss boundedness and compactness of Toeplitz operators on Bergman spaces and then describe their essential spectra for several symbol classes (e.g., the Douglas algebra, VMO and BMO type spaces, matrix-valued symbols). I will also list some open problems related to boundedness, compactness and Fredholmness.
  • Functional Analysis Seminar

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