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- W2078958449 abstract "A criterion is given for a Hankel operator , where is the orthogonal projection of onto ) to belong to the Schatten-von Neumann class in terms of its symbol . Various applications are considered: a precise description is obtained for classes of functions definable in terms of rational approximation in the (bounded mean oscillation) norm; it is proved that the averaging projection onto the set of Hankel operators is bounded in the norm of , ; a counterexample is given to a conjecture of Simon on the majorization property in ; a problem of Ibragimov and Solev on stationary Gaussian processes is solved; and a criterion is obtained for functions of an operator in the Sz.-Nagy-Foia? model to belong to the class .Bibliography: 47 titles." @default.
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- W2078958449 date "1982-04-30" @default.
- W2078958449 modified "2023-09-23" @default.
- W2078958449 title "HANKEL OPERATORS OF CLASS $ mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)" @default.
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- W2078958449 doi "https://doi.org/10.1070/sm1982v041n04abeh002242" @default.
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