Professur Analysis (Funktionalanalysis und Operatortheorie)

• Banachalgebren und asymptotische Invertierbarkeit
• Strukturierte Matrizen
• Operatorwertige holomorphe Funktionen

• Asymptotische Spektraltheorie für Faltungsoperatoren und ihren Verallgemeinerungen; Kooperationspartner: E. L. Basor (California Polytechnic State University), San Luis Obispo, Kalifornien
• Algebraische Theorie Toeplitzartiger Matrizen und schnelle Algorithmen zur Auflösung entsprechender Gleichungssysteme. Kooperationspartner: G. Heinig (Universität Kuwait)
• Fredholmtheorie und asymptotische Invertierbarkeit für zusammengesetzte Faltungs- und Pseudodifferentialoperatoren. Kooperationspartner: G. Grudsky, A. Kozak, V. Rabinovich - Universität Rostov
• Logarithmische Residuen operatorwertiger holomorpher Funktionen. Kooperationspartner: H. Bart, Erasmus-Universität, Rotterdam
• Faktorisierung von mehrdimensionalen Toeplitzoperatoren. Kooperationspartner: C. van der Mee, S. Seatzu, Università di Cagliari, Italien
• Faktorisierung von nicht-rationalen Matrixfunktionen. Kooperationspartner: F.-O. Speck, Instituto Superior Técnico, Lissabon, Portugal

Karlovich, Y. / Silbermann, B.: Local Method for Nonlocal Operators on Banach Spaces, Operator Theory: Advances and Applications, 135, (2002) Birkhäuser Verlag Basel, 235-247, ISSB-Nr. 3-7643-6877-2

Bart, H. / Ehrhardt, T. / Silbermann, B.: Logarithmic residues of analytic Banach algebra valued functions possessing simply meromorphic inverse, Linear Algebra Appl., 341, (2002), 327-344, ISSN-Nr. 0024-3795

Bart, H. / Ehrhardt, T. / Silbermann, B.: Sums of Idempotents in the Banach Algebra generated by the compact operators and the identity, Operator Theory: Advances and Applications, 135, (2002), Birkhäusser Verlag Basel, 39-60, ISSB-Nr. 3-7643-6877-2

Didenko, V.D. / Silbermann, B.: Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-Smooth Domains, Operator Theory: Advances and Applications, 135, (2002) Birkhäuser Verlag Basel, 145-160, ISSB-Nr. 3-7643-6877-2

Didenko, V.D. / Silbermann, B.: On stability of approximation methods for the Muskhelishvili equation, Journal of Computational and Applied Mathematics 146, (2002), Elsevier Science Inc., 419-441, ISSN-Nr. 0377-0422

Ehrhardt, T. / Spitkovsky, I.M.: Factorization of piecewise constant matrix functions and systems of linear differential equations, St. Petersburg Math. J., 13, No. 6, (2002), 939-991, ISSN-Nr. 0234-0852

Bart, H. / Ehrhardt, T. / Silbermann, B.: Logarithmic residues of analytic Banach algebra valued functions possessing simply meromorphic inverses, Linear Algebra Appl., 341, (2002), 327-344, ISSN-Nr. 0024-3795

Basor, E.L. / Ehrhardt, T.: Some identities for determinants of structured matrices, Linear Algebra Appl., 343-344, (2002), 5-19, ISSN-Nr. 0024-3795

Bart, H. / Ehrhardt, T. / Silbermann, B.: Sums of idempotents in the Banach algebra generated by the compact operators and the identity, Operator Theory: Advances and Applications, 135, (2002), Birkhäuser Verlag Basel, 39-60, ISSB-Nr. 3-7643-6877-2

Basor, E.L. / Ehrhardt, T.: Asymptotic formulas for the determinants of symmetric Toeplitz plus Hankel matrices, Operator Theory: Advances and Applications, 135, (2002), Birkhäuser Verlag Basel, 61-90, ISSB-Nr.3-7643-6877-2

Ehrhardt, T. / Speck, F.-O.: Transformation techniques towards the factorization of non-rational 2 ´ 2 matrix functions, Linear Algebra Appl., 353, (2002), 53-90, ISSN-Nr. 0024-3795

Heinig, G. / Rost, K.: Fast algorithms for skewsymmetric Toeplitz matrices, Operator Theory: Advances and Applications, 135 (2002), 193-208, ISBN-Nr.: 3-7643-6877-2

Junghanns, P. / Müller, K. / Rost, K.: On collocation methods for nonlinear Cauchy singular integral equations, Operator Theory: Advances and Applications, 135 (2002), 209-233, ISBN-Nr.: 3-7643-6877-2

Heinig, G. / Rost, K.: Split algorithm and ZW-factorization for Toeplitz and Toeplitz-plus-Hankel matrices, Proceedings of the MTNS, Notre Dame 2002

Ng, M. K. / Rost, K. / Wen, Y.-W.: On inversion of Toeplitz matrices, Linear Algebra Appl., 348 (2002), 145-151, ISSN-Nr.: 0024-3795

Heinig, G. / Rost, K.: Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians, Special issue on structured and infinite systems of linear equations, Linear Algebra Appl. 343/344 (2002), 195-209, ISSN-Nr.: 0024-3795

Silbermann, B.: On the computation of the partial indizes of smooth and regular matrix functions, Madeira-Konferenz, Februar 2002

Silbermann, B.: Collocation matrices and their singular values, TU Lissabon, September 2002

Silbermann, B.: Generalized invertibility in Banach algebras, Universität Sevilla, September 2002

Silbermann, B.: Finite sections of Toeplitz operators and their singular values, Universität Sevilla, September 2002

Rost, K.: Fast algorithms for skewsymmetric Toeplitz matrices, International Conference on structured matrices, Hong Kong, 30.05.2002

Rost, K.: New fast algorithms for Toeplitz-plus-Hankel matrices, GAMM Workshop on Numerical Linear Algebra, Bielefeld, 14.09.2002

Rost, K.: New fast algorithms and ZW-factorizations for Toeplitz-plus-Hankel matrices, IWOTA 2002, (13. Intern. Workshop on Operator Theory and Applications), Virginia Tech, Blacksburg, 07.08.2002