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A condition for the isomorphism of a Banach space having the Orlicz property to a Hilberts space

✍ Scribed by B. M. Makarov


Publisher
Springer US
Year
1984
Tongue
English
Weight
270 KB
Volume
27
Category
Article
ISSN
1573-8795

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Let C(X) be the Banach space of continuous real-valued functions of an infinite compacturn X with the sup-norm, which is homeomorphic to the pseudo-interior s = (-I, I)"' of the Hilbert cube Q = [-1, llw. We can regard C(X) as a subspace of the hyperspace exp(X x E) of nonempty compact subsets of X