THE JOINT SIMILARITY PROBLEM FOR WEIGHTED BERGMAN SHIFTS
نویسندگان
چکیده
منابع مشابه
Subnormality of Bergman-like Weighted Shifts
For a, b, c, d ≥ 0 with ad − bc > 0, we consider the unilateral weighted shift S(a, b, c, d) with weights αn := √ an+b cn+d (n ≥ 0). Using Schur product techniques, we prove that S(a, b, c, d) is always subnormal; more generally, we establish that for every p ≥ 1, all p-subshifts of S(a, b, c, d) are subnormal. As a consequence, we show that all Bergman-like weighted shifts are subnormal.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2002
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500000407