Non compact boundaries of complex analytic varieties in Hilbert spaces

Samuele Mongodi; Alberto Saracco

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An elementary proof of Komlós-Révész theorem in Hilbert spaces.

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A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace

James Moloney, Xinlong Weng (1995)

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Let C be a closed, bounded, convex subset of a Hilbert space. Let T : C → C be a demicontinuous pseudocontraction. Then T has a fixed point. This is shown by a combination of topological and combinatorial methods.

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Eberhard Gerlach (1971)

Annales de l'institut Fourier

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A general theorem on Hilbert subspaces of dually nuclear spaces is proved, from which all previous results of K. Maurin and the writer on regularity of generalized eigenfunctions follow as simple corollaries. In addition some supplements to L. Schwartz’s work on Hilbert subspaces in spaces of smooth functions are given.

Special symmetries of Banach spaces isomorphic to Hilbert spaces

Jarno Talponen (2010)

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We characterize Hilbert spaces among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the following result is typical: If X is a real Banach space isomorphic to a Hilbert space and convex-transitive with respect to the isometric finite-dimensional perturbations of the identity, then X is already isometric to a Hilbert space.