Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI
S. Arimoto et al., Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI, INT J QUANT, 84(4), 2001, pp. 389-400
The present Part VI of this series of articles provides a mathematical and
methodical link between (i) fundamental methodology in the repeat space the
ory (RST), which is referred to as the approach via the aspect of form and
general topology and which has universal unifying power to handle additivit
y problems of molecules that have many identical moieties, and (ii) frontie
r electron theory of reactivity indices. Using theoretical tools required t
o link (i) and (ii), we establish a theorem from which the Generalized Alph
a Existence Theorem (a theorem essential in the RST and proved in the previ
ous Part V) directly follows. (C) 2001 John Wiley & Sons, Inc.