References
R. M. Brooks, “On locally convex algebras,”Pacific J. Math.,23, 5–23 (1967).
Th. Chryssakis,Spatial and A-ranges in Topological Algebras, Doctoral Dissertation [in Greek], Univ. of Athens (1980).
Th. Chryssakis, “ϕ-Spatial numerical ranges in locallym-convex *-algebras,”Math. Jpn.,42, 511–516 (1995).
M. Fragoulopoulou,An Introduction to the Representation Theory of Topological * -Algebras, Schriftenreihe Math. Inst. Univ. Münster 48 (1988).
A. Mallios,Topological Algebras. Selected Topics, North-Holland, Amsterdam (1986).
J. Maroulas and P. Psarrakos, “Geometrical properties of numerical range of matrix polynomials,”Math. Appl.,31, 41–47 (1996).
Additional information
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 49, Functional Analysis-4, 1997.
Rights and permissions
About this article
Cite this article
Chryssakis, T. Symmetry of the spatial numerical ranges of algebra polynomials and of matrix polynomials. J Math Sci 96, 3716–3721 (1999). https://doi.org/10.1007/BF02172665
Issue Date:
DOI: https://doi.org/10.1007/BF02172665