Diagonal nuclear maps in sequence spaces
β Scribed by J. R. Holub
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 374 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let f : X β Y be a map. f is a sequence-covering map if whenever In this paper we investigate the structure of sequence-covering images of metric spaces, the main results are that (1) every sequence-covering, quotient and s-image of a locally separable metric space is a local β΅ 0 -space; (2) every
RAMANUJAN of Ann Arbor (USA) and T. TERZIOCLU of Ankara (Turkey) (Eingegangen am 2. 1. 1978) I n this note we give two (unrelated) results; the first is a necessary and sufficient condition for a matrix map on a KOTHE space A(P) into another, A(&), to be A(&)-nuclear; the second is that the eigenva
It is shown that if l . is an Orlicz sequence space, then the space l w 1 (l . ) of weakly summable sequences in l . is continuously embedded into l . (l 2 ) (resp., into l . (l . )) whenever t [ .(-t) is equivalent to a concave function (resp., a convex function and . is a supermultiplicative funct