Banach Spaces of GLT Sequences and Function Spaces
From MaRDI portal
Publication:5097500
zbMath1495.15036arXiv2112.15054MaRDI QIDQ5097500
Rahul Rajan, V. B. Kiran Kumar, N. S. Sarathkumar
Publication date: 25 August 2022
Full work available at URL: https://arxiv.org/abs/2112.15054
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operator approximation theory (47A58) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08)
Cites Work
- Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size
- The GLT class as a generalized Fourier analysis and applications
- A unifying approach to abstract matrix algebra preconditioning
- A Korovkin-type theory for finite Toeplitz operators via matrix algebras
- Korovkin-type theorems for Schwarz maps and operator monotone functions in \(C^*\)-algebras
- Hartley preconditioners for Toeplitz systems generated by positive continuous functions
- A Korovkin-type theory for non-self-adjoint Toeplitz operators
- Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
- A unifying approach to some old and new theorems on distribution and clustering
- A short survey on preconditioners and Korovkin-type theorems
- Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
- Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case
- Equivalence between GLT sequences and measurable functions
- Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Circulant Preconditioners for Toeplitz Matrices with Positive continuous Generating Functions
- Superlinear PCG methods for symmetric Toeplitz systems
- Korovkin tests, approximation, and ergodic theory
- Locally X Matrices, Spectral Distributions, Preconditioning, and Applications
- From convergence in measure to convergence of matrix-sequences through concave functions and singular values
- Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach
- Unnamed Item
- Unnamed Item
