Titlebook: Recent Advances in Operator Theory and Its Applications; The Israel Gohberg A Israel Gohberg,D. Alpay,Cornelis Mee Conference proceedings 2

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The Singularly Continuous Spectrum and Non-Closed Invariant Subspaces,n 1, we study the variation of the invariant subspace ℌ. under bounded self-adjoint perturbations . of . that are off-diagonal with respect to the decomposition ℌ = ℌ. ⊕ ℌ.. In particular, we prove the existence of a one-parameter family of dense non-closed invariant subspaces of the operator . + .

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Optimal Prediction of Generalized Stationary Processes,es rise to what is called . stationary processes [GV61], e.g., to white noise and to many other examples. Hence it is of interest to carry over optimal prediction and filtering methods to them. For arbitrary generalized stochastic processes this could be a challenging problem. It was shown recently

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Symmetries of 2D Discrete-Time Linear Systems,ertheless, only partial results were available for the multidimensional case, since the extension of the theory for 1D systems proved not to be straightforward, as usual. Actually, a non trivial regularity assumption and also restrictions on the set of allowed symmetries had to be imposed. In this p

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Schur-type Algorithms for the Solution of Hermitian Toeplitz Systems via Factorization,r-Bareiss algorithm, 3-term one-step and double-step algorithms, and the Schur-type analogue of a Levinson-type algorithm of B. Krishna and H. Krishna. The latter one reduces the number of the multiplications by almost 50% compared with the classical Schur-Bareiss algorithm.

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