A NOTE ON A FINITE TRIANGULAR OPERATOR MATRIX

  • Ko, Eun-Gil (Department of Mathematics Ewha Womans University )
  • Published : 1997.07.01

Abstract

In this paper we shall characterize a finite triangular operator matrix with M-hyponormal operators on main diagonal. This shows in particualr that such an operator is subscalar operator. As a corollary, we get that every algebraic operator is subscalar.

Keywords

References

  1. Theory of generalized spectral operators I. Colojoara;C. Foias
  2. Indiana Univ. Math. J. v.20 Capacity in Banach algebras P. R. Halmos
  3. J. Operator Theory v.12 Hyponormal operators are subscalar M. Putinar
  4. Ph. D. thesis, Indiana University Spectral, M-hyponormal and decomposable operators B. L. Wadhwa