A Banach algebra criterion for Tauberian theorems
نویسندگان
چکیده
منابع مشابه
A Banach Algebra Criterion for Tauberian Theorems
We acknowledge valuable discussions with Dr. J. Lindenstrauss of Yale University. An infinite matrix A is called conservative if for each convergent sequence x the transformed sequence Ax is convergent. It is a classical theorem that a necessary and sufficient condition that a matrix A be conservative is that: (1) \\A\\ =supi Ey" i \aa\ < °°> (2) lim,-,«, EyTM iaa exists, (3) lim,-,M an exists ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1964
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1964-0165285-6