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Journal article
AN ENTIRE FREE HOLOMORPHIC FUNCTION WHICH IS UNBOUNDED ON THE ROW BALL
Journal of operator theory, v 84(2), pp 365-367
15 Oct 2020
Abstract
We give an entire free holomorphic function f which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topology developed by Agler and McCarthy but is unbounded on the set of row contractions.
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Details
- Title
- AN ENTIRE FREE HOLOMORPHIC FUNCTION WHICH IS UNBOUNDED ON THE ROW BALL
- Creators
- J. E. Pascoe - Univ Florida, Dept Math, 1400 Stadium Rd, Gainesville, FL 32611 USADepartment of Mathematics, 1400 Stadium Rd, University of Florida, Gainesville, FL 32611, U.S.A
- Publication Details
- Journal of operator theory, v 84(2), pp 365-367
- Publisher
- Theta Foundation
- Number of pages
- 3
- Grant note
- DMS-1606260 / NSF Mathematical Sciences Posdoctoral Researh Fellowship
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000584373400005
- Scopus ID
- 2-s2.0-85091359934
- Other Identifier
- 991021879629004721
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- Web of Science research areas
- Mathematics