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19 maja 2026 / May 19, 2026
Sameer Chavan
Subnormality of the quotients of rotation-invariant Hilbert modules
Abstract. In this talk, we investigate rotation-invariant Hilbert modules H over the polynomial ring and their quotients, with primary emphasis on the classification of subnormal quotient modules of the form H/[p], where p is a homogeneous polynomial in d complex variables. The motivation for this classification arises from the subnormality of the module tensor product of subnormal Hilbert modules, a problem first considered by N. Salinas. We present complete solutions to this problem for the Hardy and Drury-Arveson Hilbert modules in two variables.