Spectral dilation of operator-valued measures and its application to infinite-dimensional harmonizable processes
A. Makagon, H. Salehi (1987)
Studia Mathematica
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A. Makagon, H. Salehi (1987)
Studia Mathematica
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Gonshor, Harry (1966)
Portugaliae mathematica
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Schmidt, Klaus D., Waldschaks, Gerd (1991)
Portugaliae mathematica
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Janusz Dronka (1993)
Collectanea Mathematica
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In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
Akihito Uchiyama (1985)
Studia Mathematica
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Haskell Rosenthal (1971)
Studia Mathematica
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N.T. Varopoulos (1965)
Bulletin de la Société Mathématique de France
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W. Orlicz (1953)
Studia Mathematica
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C. Onneweer, Su Weiyi (1989)
Studia Mathematica
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Jun Tateoka (1994)
Studia Mathematica
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C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...