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On the definition of a tapology in Hilbert spaces with applications to the white noisy theory

✍ Scribed by A. Gandolfi; A. Germani

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
536 KB
Volume
316
Category
Article
ISSN
0016-0032

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✦ Synopsis

In this paper a topology on Hilbert spaces is defined. The continuity of a map with respect to such a topology is equivalent to the untform S-continuity around the origin, according to the Gross definition. An example ofan application, in which the achieved result gives a simple toolfor proving the existence of stochastic solutions, is reportedfor a quite general class of nonlinear dtrerential equations driven by white noise.

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