Isometries of a Space of Continuous Functions Determined by an Involution
β Scribed by Maciej Grzesiak
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 245 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let C ( X ,
a
) be the space of all a-oonjugate continuous complex fnnctione, where a is an involution on X. Surjective isometries of such epaces are investigated and a generalization of the BANACH-STONE theorem is proved.
π SIMILAR VOLUMES
We introduce a linearization property for parameter dependent operators from a space of continuous functions into itself. This notion leads to a new implicit function theorem. As an application, we study the stability of the solutions of the Ε½ .
## Abstract We clarify and prove in a simpler way a result of Taskinen about symmetric operators on __C__(__K__^__n__^), __K__ an uncountable metrizable compact space. To do this we prove that, for any compact space __K__ and any __n__ β β, the symmetric injective __n__βtensor product of __C__(__K_
We define an involution, , of F F , and investigate its properties. It is u known that if u is in Jordan form, then there is a right cell, C C, in S canonically n associated with u, and that C C indexes the irreducible components of F F . In this u paper, the elements in C C are characterized in sev
A method was developed for varying the pH of the medium during dissolution rate studies of timed-release tahlets with the aid of compressed, totally soluble, alkaline powder mixtures. Commercial as well as experimental timed-release capsules or tablets were used as models, and dissolution rates were