Journal article
INVARIANT STRUCTURE PRESERVING FUNCTIONS AND AN OKA-WEIL KAPLANSKY DENSITY TYPE THEOREM
TOHOKU MATHEMATICAL JOURNAL, v 75(4), p465
2023
Abstract
We develop the theory of invariant structure preserving and free functions on a general structured topological space. We show that an invariant structure preserving function is pointwise approximiable by the appropriate analog of polynomials in the strong topology and therefore a free function. Moreover, if a domain of operators on a Hilbert space is polynomially convex, the set of free functions satisfies a Oka-Weil Kaplansky density type theorem- contractive functions can be approximated by contractive polynomials.
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Details
- Title
- INVARIANT STRUCTURE PRESERVING FUNCTIONS AND AN OKA-WEIL KAPLANSKY DENSITY TYPE THEOREM
- Publication Details
- TOHOKU MATHEMATICAL JOURNAL, v 75(4), p465
- Publisher
- TOHOKU UNIVERSITY; SENDAI
- Grant note
- Research supported by National Science Foundation DMS grant #1953963.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:001159315700001
- Other Identifier
- 991021861214004721
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- Web of Science research areas
- Mathematics