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On a class of operators

✍ Scribed by Orland, George H.

Book ID
121866829
Publisher
American Mathematical Society
Year
1964
Tongue
English
Weight
439 KB
Volume
15
Category
Article
ISSN
0002-9939

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## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that β€–(__T – zI__)^βˆ’1^β€–=1/__d__(__z, W__(__T__)) for all __z__βˆ‰__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__

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We use the concept of directed algebra (closely related to De Morgan triplets) to modelize connectives in expert systems when linguistic terms are introduced. Mainly this article describes all directed algebra structures on a totally ordered finite set.