Published 1996
| public
Journal Article
The unique extremal QC mapping and uniqueness of Hahn-Banach extensions
- Creators
- Mateljević, M.
- Marković, V.
Abstract
Let χ be an essentialy bounded complex valued measurable function defined on the unit disc Δ, and let Λ_χ be the corresponding linear functional on the space B of analytic L^1-integrable functions. An outline of proof of main steps of the following is given: If |χ| is a constant function in Δ, then the uniqueness of Hahn-Banach extension of Λ_χ, from B to L^1, when ||Λ_ χ|| = ||χ||∞, implies that χ is the unique complex dilatation. We give a short review of some related results.
Additional Information
© 1996 European Mathematical Society. Received 04.11.1996. Supported by Ministry of Science and technology RS, grant number 04M01.Additional details
- Eprint ID
- 77392
- Resolver ID
- CaltechAUTHORS:20170512-075807115
- 04M01
- Ministry of Science and Technology (Republic of Srpska)
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field