Geodesic
Matrix transforms of subspaces of summability domains of matrices defined by speed of convergence
Filomat, Tome 37 (2023) no. 30, p. 10209

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DOI

Let X, Y be two subspaces of summability domains of matrices with real or complex entries determined by speeds of the convergence, i.e.; by monotonically increasing positive sequences λ and µ. In this paper, we give necessary and sufficient conditions for a matrix M (with real or complex entries) to transform X into Y, where X is the subspace of summability domain of a λ-reversible or a normal or a λ-perfect matrix A defined by the speed λ and Y is the subspace of a lower triangular matrix B defined by the speed µ.
DOI : 10.2298/FIL2330209A
Classification : 40C05, 40H05, 41A25
Keywords: Matrix transforms, Normal, λ-reversible and λ-perfect matrices, Summability and boundedness with speed 
Ants Aasma; P N Natarajan. Matrix transforms of subspaces of summability domains of matrices defined by speed of convergence. Filomat, Tome 37 (2023) no. 30, p. 10209 . doi: 10.2298/FIL2330209A
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     author = {Ants Aasma and P N Natarajan},
     title = {Matrix transforms of subspaces of summability domains of matrices defined by speed of convergence},
     journal = {Filomat},
     pages = {10209 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330209A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330209A/}
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