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Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI*
Authors:Shigeru Arimoto  Mark Spivakovsky  Hiromu Ohno  Peter Zizler  Keith F Taylor  Tokio Yamabe  Paul G Mezey
Abstract:The present Part VI of this series of articles provides a mathematical and methodical link between (i) fundamental methodology in the repeat space theory (RST), which is referred to as the approach via the aspect of form and general topology and which has universal unifying power to handle additivity problems of molecules that have many identical moieties, and (ii) frontier electron theory of reactivity indices. Using theoretical tools required to link (i) and (ii), we establish a theorem from which the Generalized Alpha Existence Theorem (a theorem essential in the RST and proved in the previous Part V) directly follows. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem 84: 389–400, 2001
Keywords:linear operator  *‐algebra  general topology  repeat space theory (RST)  frontier electron theory of reactivity indices
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