Infinite Matrices of Operators by Ivor J. Maddox
English | PDF | 1980 | 128 Pages | ISBN : 3540097643 | 2.8 MB
The classical theory of the transformation of complex sequences by complex infinite matrices is associated largely with the names of Toeplitz, Kojima, and Schur. The basic results of this theory may be conveniently found in the books by Hardy [193, Cooke [ 9 3, Maddox [403.
In Hardy's book one also finds detailed accounts of numerous special matrices, or means, e.g. the means of Ces~ro, N~rlund, and Borel. Particular attention is given by Hardy to theorms of inclusion and consistency, as well as to theorems of Mercerian and Tauberian type.
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