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A characterization of superposition operators with local properties

✍ Scribed by Gottfried Bruckner

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
145 KB
Volume
102
Category
Article
ISSN
0025-584X

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✦ Synopsis

A characterization of superposition operators with local properties

By GOTTFRIED BRUCKNER of Berlin (Eingegengen am 2.10.1980)

In [ 11 it was shown that if A is a nontrivial superposition operator from Lp into L, with the property on a fixed hall then a 5 p / q and on t,he whole space. also sufficient for the existence of a superposition operator with the property (1).

Here we will showroughly speakingthat the necessary condition a 5 p / q is Uniform monotonicity is treated in an analogous way.

Let X and Y be linear normed spaces, 1.1 resp. 11. (1 their norms and T a (singlevalued) mapping from X into Y .

πŸ“œ SIMILAR VOLUMES

Local Properties of Ternary Rings of Ope
Local Properties of Ternary Rings of Operators and Their Linking C *-Algebras
✍ Manmohan Kaur; Zhong-Jin Ruan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 358 KB

We show that some local properties (such as nuclearity, exactness, and local reflexivity) of ternary rings of operators (TROs) are closely related to the local properties of their linking C n -algebras. We also show some equivalent conditions for nuclear TROs, and show that Haagerup's decomposition