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The unique extremal QC mapping and uniqueness of Hahn-Banach extensions

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.

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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.

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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.
Funding AgencyGrant Number
Ministry of Science and Technology (Republic of Srpska)04M01
Issue or Number:3-4
Classification Code:AMS Subject Classification: Primary 32G15; Secondary 30C60; 30C70; 30C75
Record Number:CaltechAUTHORS:20170512-075807115
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77392
Deposited By: Tony Diaz
Deposited On:12 May 2017 23:47
Last Modified:03 Oct 2019 17:57

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