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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Earl Berkson, T. Gillespie (1994)
Studia Mathematica
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We develop a spectral-theoretic harmonic analysis for an arbitrary UMD space X. Our approach utilizes the spectral decomposability of X and the multiplier theory for to provide on the space X itself analogues of the classical themes embodied in the Littlewood-Paley Theorem, the Strong Marcinkiewicz Multiplier Theorem, and the M. Riesz Property. In particular, it is shown by spectral integration that classical Marcinkiewicz multipliers have associated transforms acting on X. ...
V. Babalola (1974)
Studia Mathematica
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Gonshor, Harry (1966)
Portugaliae mathematica
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Lynn Williams, J. Wells, T. Hayden (1971)
Studia Mathematica
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James Brooks, Jan Mikusiński (1972)
Studia Mathematica
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D. Przeworska-Rolewicz (1970)
Studia Mathematica
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O. Tikhonov (1993)
Studia Mathematica
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Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
O. P. Sharma (1965)
Collectanea Mathematica
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W. Orlicz (1953)
Studia Mathematica
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