Complemented subspaces of products of Hilbert spaces

Domański, Paweł

doi:10.1090/S0002-9939-1990-1000152-2

Complemented subspaces of products of Hilbert spaces
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by Paweł Domański PDF

Proc. Amer. Math. Soc. 110 (1990), 187-196 Request permission

Abstract:

It is proved that every complemented subspace of an arbitrary topological product of (nonnecessarily separable) Hilbert spaces is isomorphic to a product of Hilbert spaces. A counterexample is given showing that this result cannot be proved by the same direct method as for countable products.

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