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Infinite Matrices and Sequence Spaces

Infinite Matrices and Sequence Spaces

By: Richard G. Cooke

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This clear and correct summation of basic results from a specialized field focuses on the behavior of infinite matrices in general, rather than on properties of special matrices. Three introductory chapters guide students to the manipulation of infinite matrices, covering definitions and preliminary ideas, reciprocals of infinite matrices, and linear equations involving infinite matrices.
From the fourth chapter onward, the author treats the application of infinite matrices to the summability of divergent sequences and series from various points of view. Topics include consistency, mutual consistency, and absolute equivalence; the core of a sequence; the inefficiency and the efficiency problems for infinite matrices; Hilbert vector space and Hilbert matrices; and projective and distance convergence and limit in sequence spaces. Each chapter concludes with examples — nearly 200 in all.

Reprint of the Dover 1995 edition, originally published by Macmillan and Company, Ltd., London, 1950.
First edition: London: Macmillan, 1950
Edition we are reprinting: Dover, 1966
No changes or new material
AvailabilityUsually ships in 24 to 48 hours
ISBN 10048678083X
ISBN 139780486780832
Author/EditorRichard G. Cooke
Page Count368
Dimensions5 1/2 x 8 1/2

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