Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing two different definitions and elaborating basic properties. Further, we extend to the q-numerical range.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
303--315
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
autor
autor
- National Technical University of Athens Department of Mathematics Zografou Campus, 15780 Athens, Greece, maroulas@math.ntua.gr [Maroulas, J.]
Bibliografia
- [1] C.F. Amelin, A numerical range for two linear operators, Pacific J. Math. 48 (1973), 335–345.
- [2] F.F. Bonsall, J. Duncan, Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras, London Mathematical Society Lecture Note Series, Cambridge University Press, New York, 1971.
- [3] F.F. Bonsall, J. Duncan, Numerical Ranges II, London Mathematical Society Lecture Notes Series, Cambridge University Press, New York, 1973.
- [4] Ch. Chorianopoulos, S. Karanasios, P. Psarrakos, A definition of numerical range of rectangular matrices, Linear Multilinear Algebra 57 (2009), 459–475.
- [5] K.E. Gustafson, D.K.M. Rao, Numerical Range. The Field of Values of Linear Operators and Matrices, Springer-Verlag, New York, 1997.
- [6] P.R. Halmos, A Hilbert Space Problem Book, 2nd ed., Springer-Verlag, New York, 1982.
- [7] R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.
- [8] R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
- [9] C.K. Li, P.P. Mehta, L. Rodman, A generalized numerical range: The range of a constrained sesquilinear form, Linear Multilinear Algebra 37 (1994), 25–49.
- [10] M. Marcus, P. Andresen, Constrained extrema of bilinear functionals, Monatsh. Math.84 (1977), 219–235.
- [11] N.K. Tsing, The constrained bilinear form and the c-numerical range, Linear Algebra Appl. 56 (1984), 195–206.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0060