منابع مشابه
On the Hilbert Matrix, Ii1
where the best possible constant Mk is it for k ^ 1/2 and ir\ csc irk\ for 1/2 <k. Thus, when considered as a linear operator on the complex sequential Hilbert space l2, Hk is a bounded symmetric operator. Magnus [8] showed that the l2 spectrum of H0 is purely continuous and consists of the interval [0, it]. In this note we shall exhibit for each real k a monotone function pk(\) and an isometri...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1958
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1958-0094626-0