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On the invertibility of the operator A–XB

✍ Scribed by Chun Yuan Deng

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
126 KB
Volume
16
Category
Article
ISSN
1070-5325

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📜 SIMILAR VOLUMES

On positive invertibility of operators a
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✍ M. R. Weber 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB

## Abstract In Banach spaces ordered by a normal cone that contains interior points the positive invertibility of operators is studied. If there exists a uniformly positive functional then any positively invertible operator __A__ possesses a __B__ ‐decomposition, i.e., a positive decomposition __A_

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This paper is concerned with the invertibility of parallel operations definable on two-dimensional binary arrays by means of a local Boolean function. In this way, it contributes to the theory of cellular automata and may open new potentialities to cellular neural network applications. We provide a