On Certain Aspects of the Multidimensional S‐Spectral Theory
Cristina Serbanescu, Ioan Bacalu · Mathematical Problems in Engineering · 2014
This paper has two parts. The first one provides the preliminary notions introducing certain general concepts, in order to study, in the second part, the properties of some operator systems which admit spectral residual decompositions, S‐decomposable, S‐spectral, and AS‐scalar systems, and so forth. The results obtained by Frunză, 1975, are generalized, taking the results of Foias, 1963, as a model and adopting them.