Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators
โ Scribed by Takayuki Furuta
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 235 KB
- Volume
- 381
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
Some inequalities for the numerical radius, the operator norm and the maximum of the real part of bounded linear operators in Hilbert spaces, under suitable assumptions for the involved operator, are given.
Majumdar (1994, J. Multivariate Anal. 48 87-106) compounds (in the sense of Robbins. 1951, "Proceedings, Second Berkeley Sympos. Math. Statist. Probab.," pp. 131-148, Univ. of California Press, Berkeley) the estimation problem in the mean-parameter family of Gaussian distributions on a real separabl
The authors establish the boundedness of some sublinear operators in weighted Herr spaces on Vilenkin groups under certain weak local hypotheses on the size of these operators at the identity. This class of operators includes most of the important operators in harmonic analysis on Vilenkin groups. T