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

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

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 226 KB
• Volume: 67
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1998)67:1<57::aid-qua5>3.0.co;2-y

✦ Synopsis

Part IV of this series consists of two complementary subparts devoted to Ž . attain the following two goals: i By shifting from the previous setting of the Banach Ž . Ž . Ž . algebra B B B s B B B, B B to a broader setting of the space B X, B B of all bounded linear operators from a normed space X to a Banach space B 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 Ž . in macromolecules having repeating units. ii By reverting our focus to the special Ž . algebra B H H with H 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.