Rank α operators on the space C(T,X)
Dumitru Popa
Colloquium Mathematicae, Tome 91 (2002), p. 255-262 / Harvested from The Polish Digital Mathematics Library
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For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if xₙ→ταx implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284033 
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     title = {Rank $\alpha$ operators on the space C(T,X)},
     journal = {Colloquium Mathematicae},
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     year = {2002},
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     zbl = {1034.47010},
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Dumitru Popa. Rank α operators on the space C(T,X). Colloquium Mathematicae, Tome 91 (2002) pp. 255-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-2-5/