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Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. V

✍ Scribed by Shigeru Arimoto; Kenichi Fukui; Peter Zizler; Keith F. Taylor; Paul G. Mezey

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 222 KB
Volume: 74
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1999)74:6<633::aid-qua4>3.0.co;2-k

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✦ Synopsis

The present Part V of this series of articles is devoted to the initial development of the theory of generalized repeat space for a study of the correlation between the structure and properties in molecules having many identical moieties. An element of generalized repeat space, referred to as a generalized repeat sequence, is a d-dimensional generalization of a complex matrix version of repeat sequence, which we studied in Part IV of this series of articles. The generalized repeat space, which satisfies the axioms of a complex U -algebra, is a far-reaching extension of the original repeat space, and we present here the fundamental theorems as an initial step toward the formation of the theory of the generalized repeat space.

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