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OPERATORS WITH THE SINGLE VALUED EXTENSION PROPERTY

  • Kim, Yoen-Ha (Department of Mathematics, Ewha Women's University) ;
  • Ko, Eung-Il (Department of Mathematics, Ewha Women's University) ;
  • Lee, Ji-Eun (Department of Mathematics, Ewha Women's University)
  • Published : 2006.08.01

Abstract

In this Paper We Study some Operators With the single valued extension property. In particular, we investigate the Helton class of an operator and an $n{\times}n$ triangular operator matrix T.

Keywords

Helton class;the single valued extension property

References

  1. I. Colojoara and C. Foias, Theory of generalized spectral operators, Gordon and Breach, New York, 1968
  2. J. W. Helton, Operators with a representation as multiplication by x on a Sobolev space, Colloquia Math. Soc. Janos Bolyai 5, Hilbert Space Operators, Tihany, Hungary (1970), 279-287
  3. M. Kim and E. Ko, Some connections between an operator and its Aluthge transform, Glasg. Math. J. 47 (2005), no. 1, 167-175 https://doi.org/10.1017/S0017089504002149
  4. E. Ko, On Hypo-Jordan operators, Glasg. Math. J. 43 (2001), no. 3, 411-418

Cited by

  1. Some connections between an operator and its Helton class vol.340, pp.2, 2008, https://doi.org/10.1016/j.jmaa.2007.09.011
  2. APPROXIMATE CONTROLLABILITY FOR DIFFERENTIAL EQUATIONS WITH QUASI-AUTONOMOUS OPERATORS vol.48, pp.1, 2011, https://doi.org/10.4134/BKMS.2011.48.1.001
  3. On Some Normality-Like Properties and Bishop's Property () for a Class of Operators on Hilbert Spaces vol.2012, 2012, https://doi.org/10.1155/2012/975745
  4. INHERITED PROPERTIES THROUGH THE HELTON CLASS OF AN OPERATOR vol.48, pp.1, 2011, https://doi.org/10.4134/BKMS.2011.48.1.183
  5. Upper triangular operator matrices with the single-valued extension property vol.349, pp.1, 2009, https://doi.org/10.1016/j.jmaa.2008.08.033