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Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. IV
Author(s) -
Arimoto Shigeru,
Fukui Kenichi,
Taylor Keith F.,
Mezey Paul G.
Publication year - 1998
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(1998)67:1<57::aid-qua5>3.0.co;2-y
Subject(s) - uniqueness , hilbert space , mathematics , banach space , linear operators , bounded function , resolution (logic) , space (punctuation) , pure mathematics , structured program theorem , linear algebra , algebra over a field , mathematical analysis , computer science , geometry , operating system , artificial intelligence
Part IV of this series consists of two complementary subparts devoted to attain the following two goals: (i) By shifting from the previous setting of the Banach algebra B (ℬ)= B (ℬ, ℬ) to a broader setting of the space B ( X , ℬ) of all bounded linear operators from a normed space X to a Banach space ℬ, we extend our previous theoretical framework to incorporate part of the theory of additive correlation involving the Asymptotic Linearity Theorems, which have been developed for a study of correlation between structure and properties in molecules having many identical moieties, especially in macromolecules having repeating units. (ii) By reverting our focus to the special algebra B (ℋ) with ℋ being a Hilbert space, we develop a theorem which is useful for a structural analysis of spectral symmetry of linear operators representing physico‐chemical network systems. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 67 : 57–69, 1998