Matrix Transformations in a Banach Space
نویسندگان
چکیده
منابع مشابه
Range Transformations on a Banach Function Algebra
We study the range transformations 0p(/fD, Reß) and Op(/fD, B) for Banach function algebras A and B. As a special instance, the harmonicity of functions in Op(/fD, Re A) for a nontrivial function algebra A is established and is compared with previous investigations of Op( An, A) and Op((Re/l);, (Re/1)) for an interval /. In §2 we present some results on Op(AD, B) and use them to show that funct...
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Let χ denote the space of all gai sequences and Λ the space of all analytic sequences. First we show that the set E = { s(k) : k = 1, 2, 3, · · · } is a determining set for χM . The set of all finite matrices transforming χM into FKspace Y denoted by (χM : Y ) . We characterize the classes (χM : Y ) when Y = (c0)π , cπ, χM , `π, `s,Λπ, hπ. In summary we have the following table: ↗ (c0)π cπ χM `...
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I Berger, M., "Sur quelques varigtes riemanniennes compactes d'Einstein," Compt. Rend., 260, 1554-1557 (1965). 2 Bishop, R. L., and R. J. Crittenden, Geometry of Manifolds (New York: Academic Press, 1964). 3Bishop, R. L., and S. I. Goldberg, "On the topology of positively curved Kaehler manifolds," T6hoku Math. J., 15, 359-364 (1963). 4 Bishop, R. L., and S. I. Goldberg, "On the second cohomolo...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1966
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(66)50005-1