Trace inequalities for spaces in spectral duality

• Autorzy: O. E. Tikhonov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B60: Operators on ordered spaces
• 46L10: General theory of von Neumann algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 104
• Numer: 1
• Strony: 99-110

Daty

wydano

1993

otrzymano

1992-06-30

Twórcy

autor

O. E. Tikhonov

• Research Institute of Mathematics and Mechanics, Kazan University, Lenin Str. 18, Kazan 420008, Russian Federation.

Bibliografia

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