The Closures of (u+k)-Orbits of Class Essentially Normal Operators

• Autores: F. Zhai
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 4, 2004, págs. 1177-1196
• Idioma: inglés
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• Resumen

  • Let A , B be simply connected analytic cauchy domains, B be a subset of the closure of A , u and v be measures on the boundary of A and B* which are assumed to be equivalent to arc length measures, respectively. M(A , u) and M(B*, v) are the multiplication operators on Hardy spaces of functions on the simply connected cauchy domain A and the simply connected cauchy domain B* , respectively. In this paper, we describe the closure of (u+k)-oribt of direct sum of the finitely direct sum M(A , u) with the finitely direct sum M(B*, v)*, furthermore, if A=D={z: |z|<1}, we also describe the closure of (u+k)-oribt of finitely direct sum of a class essentially normal operator models.