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Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. V
Author(s) -
Arimoto Shigeru,
Fukui Kenichi,
Zizler Peter,
Taylor Keith F.,
Mezey Paul G.
Publication year - 1999
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1999)74:6<633::aid-qua4>3.0.co;2-k
Subject(s) - uniqueness , generalization , axiom , series (stratigraphy) , mathematics , sequence (biology) , space (punctuation) , resolution (logic) , extension (predicate logic) , pure mathematics , matrix (chemical analysis) , hilbert space , algebra over a field , mathematical analysis , computer science , chemistry , geometry , paleontology , biochemistry , chromatography , artificial intelligence , biology , programming language , operating system
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 *‐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. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 633–644, 1999