Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. II
Creators
- 1. Univ. of Saskatchewan, Saskatoon (Canada)
Description
The methodology and theoretical framework of Part I of this series of articles have been further developed to the setting of the Banach algebra B(B) of all bounded operators acting on a Banach space B. Using the above setting B(B), certain dynamical systems of chemical kinetic equations are illustrated in conjunction with Part I and with the analysis of more general systems, some of which will be made in Part III of this series of articles. The main theorem and its auxiliary theorem in the present article elucidate in a unifying manner the structure and the underlying pattern of the spectral symmetry of linear operators (acting on Banach spaces and Hilbert spaces) that are investigated in each of the research fields of dynamical systems and quantum chemistry involving the spectral symmetry of alternant, hydrocarbons. 24 refs
Additional details
Publishing Information
- Journal Title
- International Journal of Quantum Chemistry
- Journal Volume
- 53
- Journal Issue
- 4
- Journal Page Range
- p. 387-406.
- ISSN
- 0020-7608
- CODEN
- IJQCB2
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 28060212
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S37: INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; S99: GENERAL AND MISCELLANEOUS;
- Descriptors DEI
- BANACH SPACE; CHEMICAL REACTION KINETICS; HILBERT SPACE; HYDROCARBONS; MATRIX ELEMENTS; QUANTUM OPERATORS; SPECTRAL FUNCTIONS; STRUCTURAL CHEMICAL ANALYSIS
- Descriptors DEC
- FUNCTIONS; KINETICS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; ORGANIC COMPOUNDS; REACTION KINETICS; SPACE