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Approximation by Bounded Functions in the Dirichlet Space
Author(s) -
Chan Kit C.
Publication year - 1993
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-47.2.341
Subject(s) - bounded function , mathematics , subspace topology , dirichlet distribution , invariant (physics) , space (punctuation) , invariant subspace , pure mathematics , mathematical analysis , linear subspace , computer science , boundary value problem , operating system , mathematical physics
We show that every nontrivial invariant subspace of the Dirichlet space of a finitely connected region contains a dense set of bounded functions.