Prof. Dr. rer. nat. Markus Seidel

We 15:00-16:00, or by proir arrangement

Teaching

• Mathematics in Engineering and Computer Sciences
• Software course Image Processing (MatLab, MathCAD)

Former (Chemnitz University of Technology):

• Mathematics for students of Physics, Engineering Sciences and Mathematics
  (analysis, linear algebra, complex analysis, algebra, functional analysis, integration and measure theory)

Research interests

• applied functional analysis
• operator and spectral theory
• approximation methods and stability
• complexity
• Fredholm theory in Banach algebras

Papers

• Finite sections of band-dominated operators: l^p-theory,
  with B. Silbermann,
  Complex Anal. Oper. Theory., Volume 2, Number 4 (2008), 683-699.

• Banach algebras of structured matrix sequences,
  with B. Silbermann,
  Linear Algebra Appl., 430 (2009), 1243-1281.

• On the stability of collocation methods for Cauchy singular integral equations in weighted L^p spaces,
  with P. Junghanns and G. Mastroianni,
  Math. Nachr., 283(1) (2010), 58-84.

• Banach algebras of operator sequences,
  with B. Silbermann,
  Oper. Matrices, Volume 6, Number 3 (2012), 385-432.

• On (N,epsilon)-pseudospectra of operators on Banach spaces,
  J. Funct. Anal., 262(11) (2012), 4916-4927.

• Finite sections of band-dominated operators - norms, condition numbers and pseudospectra,
  with B. Silbermann,
  Operator Theory: Adv. and Appl., 228 (2013), 375-390.

• On an open question about the stability of the finite section method for a class of convolution type operators,
  Integr. Equ. Oper. Theory., 75(2) (2013), 249-255.

• Fredholm theory for band-dominated and related operators: a survey,
  Linear Algebra Appl., 445 (2014), 373-394,
  arXiv:1307.1635 .

• An Affirmative Answer to a Core Issue on Limit Operators,
  with M. Lindner,
  J. Funct. Anal., 267(3) (2014), 901-917,
  arXiv:1401.1300.

• Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations,
  with H. Mascarenhas, P. A. Santos,
  J. Math. Anal. Appl., 418(2) (2014), 938-963.

• On semi-Fredholm band-dominated operators,
  Integr. Equ. Oper. Theory., 83(1) (2015), 35-47,
  arXiv:1407.8104

• New barriers in complexity theory: On the Solvability Complexity Index and towers of algorithms,
  with J. Ben-Artzi, A. C. Hansen, O. Nevanlinna.
  C. R. Acad. Sci. Paris, Ser. I 353 (2015), 931-936.

• Essential pseudospectra and essential norms of band-dominated operators,
   with R. Hagger and M. Lindner. 
  J. Math. Anal. Appl. 437(1) (2016), 255-291,
  arXiv:1504.00540

• Norms, condition numbers and pseudospectra of convolution type operators on intervals,
  Operator Theory: Adv. and Appl., 259 (2017), 663-680.

• Approximation sequences on Banach spaces: a rich approach,
   with H. Mascarenhas and P. A. Santos.
  J. London Math. Soc. 96(1) (2017), 86-110.
  arXiv:1603.06210

Preprints

• Can everything be computed? - On the Solvability Complexity Index and Towers of Algorithms,
  with J. Ben-Artzi, A. C. Hansen, O. Nevanlinna. submitted
  arXiv:1508.03280