An approach to joint spectra
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 131-144 DOI: 10.4064/ap-72-2-131-144
For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.