Ascent, Essential Ascent, Descent and Essential Descent for a Linear Relation in a Linear Space

作者：Chafai Ezzeddine^*; Alvarez Tereza

来源：Filomat, 2017, 31(3): 709-721.

DOI：10.2298/FIL1703709C

• Ascent
• essential ascent
• descent
• essential descent
• polynomial spectral mapping theorem

For a linear relation in a linear space some spectra defined by means of ascent, essential ascent, descent and essential descent are introduced and studied. We prove that the algebraic ascent, essential ascent, descent and essential descent spectrum of a linear relation in a linear space satisfy the polynomial spectral mapping theorem. As an application of the obtained results we show that the topological ascent, essential ascent, descent and essential descent spectrum verify the polynomial spectral mapping theorem.

• 出版日期2017