New Hilbert Spaces from Old

Donald Sarason
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Donald Sarason: University of California, Department of Mathematics

A chapter in PAUL HALMOS Celebrating 50 Years of Mathematics, 1991, pp 195-204 from Springer

Abstract: Abstract It is a cliché that Hilbert spaces are often useful in connection with problems whose initial formulations do not mention them. A familiar case in point is the classical moment problem [3]. It is also a cliché that, in attacking problems about Hilbert spaces and Hilbert space operators, one is often led to construct new Hilbert spaces. Occasionally, one of these new Hilbert spaces originally lies hidden, lurking in the shadows, and, once revealed, makes possible an unexpectedly elegant solution.

Date: 1991
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DOI: 10.1007/978-1-4612-0967-6_24

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