Acta mathematica scientia,Series A ›› 1981, Vol. 1 ›› Issue (1): 77-82.

Previous Articles     Next Articles

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR

Xia Daoxing   

  1. Research Institute of Mathematics, Fudan University, Shanghai Wuhan Institute of Mathematical Sciences, Academia Sinica
  • Received:1980-07-17 Online:1981-03-26 Published:1981-03-26

Abstract: Let H be a complex separable Hilbert space, L(H) be the algebra of all linear bounded operators in H, and SHU be the set of all operators T-U|T|∈L(H) satisfying the following conditions:(ⅰ) the operator UL(H) is unitary and (ⅱ)|T|∈L(H),
|T| ≥ U|T|U-1 ≥ 0.

Trendmd