An index formula for the two variable Jordan block

• Autores: Lufeng Yu, Yixian Yang, Rongwei Yang
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 511-520
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10497-5
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• Resumen

  • On Hardy space over the bidisk, let be the compression of the pair to the quotient module . In this paper, we obtain an index formula for when it is Fredholm. It is also shown that the evaluation operator is compact on a Beurling type quotient module if and only if the corresponding inner function is a finite Blaschke product in .