STRUCTURAL-ANALYSIS OF CERTAIN LINEAR-OPERATORS REPRESENTING CHEMICALNETWORK SYSTEMS VIA THE EXISTENCE AND UNIQUENESS THEOREMS OF SPECTRALRESOLUTION - IV

Part IV of this series consists of two complementary subparts devoted to attain the following two goals: (i) By shifting from the previous s etting 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 inc orporate part of the theory of additive correlation involving the Asym ptotic Linearity Theorems, which have been developed for a study of co rrelation between structure and properties in molecules having many id entical 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. (C) 1998 John Wiley & Sons, Inc. Int J.