Two stable modifications of the finite section method
作者： Marko Lindner
DOI:
关键词: Calculus 、 Section (archaeology) 、 Mathematics
摘要: In this article we demonstrate and compare two modified versions of the classical finite section method for band-dominated operators in case latter is not stable. For both methods give explicit criteria their applicability.
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arxiv.org参考文章(21)
Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann, Algebras of Approximation Sequences: Finite Sections of Band-Dominated Operators Acta Applicandae Mathematicae. ,vol. 65, pp. 315- 332 ,(2001) , 10.1023/A:1010623505899
Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann, Finite sections of band-dominated operators with almost periodic coefficients Birkhäuser Basel. pp. 205- 228 ,(2006) , 10.1007/978-3-7643-7737-3_12
Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann, The Finite Sections Approach to the Index Formula for Band-dominated Operators Birkhäuser Basel. pp. 185- 193 ,(2008) , 10.1007/978-3-7643-8893-5_11
Marko Lindner, Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method ,(2006)
Vladimir Rabinovitch, Steffen Roch, Bernd Silbermann, None, Limit operators and their applications in operator theory ,(2004)
I. A. Felʹdman, Israel Gohberg, Convolution equations and projection methods for their solution ,(1974)
Glen Baxter, A norm inequality for a “finite-section” Wiener-Hopf equation Illinois Journal of Mathematics. ,vol. 7, pp. 97- 103 ,(1963) , 10.1215/IJM/1255637484
Bernd Silbermann, Roland Hagen, Steffen Roch, C* - Algebras and Numerical Analysis ,(2000)
Vladimir S Rabinovich, Steffen Roch, Bernd Silbermann, None, FREDHOLM THEORY AND FINITE SECTION METHOD FOR BAND-DOMINATED OPERATORS Integral Equations and Operator Theory. ,vol. 30, pp. 452- 495 ,(1998) , 10.1007/BF01257877
Marko Lindner, The Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit Operators Numerical Functional Analysis and Optimization. ,vol. 24, pp. 863- 893 ,(2003) , 10.1081/NFA-120026383