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Invariant Core Theorems for Double Sequences

✍ Scribed by Richard F. Patterson

Publisher
Springer
Year
2000
Weight
60 KB
Volume
24
Category
Article
ISSN
0129-2021

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Let (x jk : j, k = 0, 1, 2, . . .) be a double sequence of real or complex numbers, and set x jk for m, n = 0, 1, 2, . . . . We give necessary and sufficient conditions, under which st-lim Οƒ mn = ΞΎ implies st-lim x jk = ΞΎ, where ΞΎ is a finite number. These Tauberian conditions are one-sided when th