DIRECT SUMS OF S - DECOMPOSABLE AND S - SPECTRAL OPERATOR SYSTEMS

作者：Serbanescu Cristina^*; Zamfir Mariana

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2016, 78(3): 143-154.

• Taylor spectrum
• S - spectral capacity
• S - decomposable system
• S - spectral measure
• S - spectral system
• direct sum

In this paper is trying to extend and generalize several results of the spectral theory for a single S - decomposable (S - spectral) operator to S - decomposable (S - spectral) operator systems. The goal of the work is to establish the behaviour of S - decomposable (S - spectral) systems related to direct sums, by showing that the direct sum of two systems is an S - decomposable (S - spectral) system if and only if both systems are S - decomposable (S - spectral). These spectral decompositions are related to differential equations and to systems of differential equations ([9]) and can have applications in quantum mechanics and fractal theory.

• 出版日期2016