Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. V
Shigeru Arimoto, Kenichi Fukui, Peter Zizler, Keith F. Taylor, Paul G. Mezey · International Journal of Quantum Chemistry · 1999
The present Part V of this series of articles is devoted to the initial development of the theory of generalized repeat space for a study of the correlation between the structure and properties in molecules having many identical moieties. An element of generalized repeat space, referred to as a generalized repeat sequence, is a d-dimensional generalization of a complex matrix version of repeat sequence, which we studied in Part IV of this series of articles. The generalized repeat space, which satisfies the axioms of a complex *-algebra, is a far-reaching extension of the original repeat space, and we present here the fundamental theorems as an initial step toward the formation of the theory of the generalized repeat space. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 633–644, 1999