Articles with "submodule mathbb" as a keyword



A Note on Rudin’s Pathological Submodule in $$H^{2}({\mathbb {D}}^2)$$H2(D2)

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Published in 2017 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-017-2380-z

Abstract: In Rudin (Function theory in polydiscs, Benjamin, New York 1969) constructed a submodule in $$H^{2}({\mathbb {D}}^2)$$H2(D2) that contains no nontrivial bounded functions. This paper shows that this type of submodules is Hilbert–Schmidt by selecting a… read more here.

Keywords: rudin pathological; rudin; submodule mathbb; note rudin ... See more keywords