Mateljević, M. and Marković, V. (1996) The unique extremal QC mapping and uniqueness of Hahn-Banach extensions. Matematichki Vesnik, 48 (3-4). pp. 107-112. ISSN 0025-5165. https://resolver.caltech.edu/CaltechAUTHORS:20170512-075807115
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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.
| Item Type: | Article | ||||||
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| Additional Information: | © 1996 European Mathematical Society. Received 04.11.1996. Supported by Ministry of Science and technology RS, grant number 04M01. | ||||||
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| Issue or Number: | 3-4 | ||||||
| Classification Code: | AMS Subject Classification: Primary 32G15; Secondary 30C60; 30C70; 30C75 | ||||||
| Record Number: | CaltechAUTHORS:20170512-075807115 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170512-075807115 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 77392 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 12 May 2017 23:47 | ||||||
| Last Modified: | 03 Oct 2019 17:57 |
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