| || || Finau, Teukava.|
| || || An investigation of ideals in constructive Banach algebra theory |
Institution: University of the South Pacific.
Subject: Banach algebras , Constructive mathematics , Brouwerian algebras
Call No.: pac QA 326 .F562 2011
Copyright:Under 10% of this thesis may be copied without the authors written permission
Abstract: In this thesis, we investigate questions about the structure of ideals in a separable, commutative, unital complex Banach algebra. Everything is to be carried out from a constructive point of view particularly within the framework of Bishop constructive mathematics, that is doing mathematics using intuitionistic logic. Questions regarding the relationship between proper, quasi–maximal, and maximal ideals are to be investigated. Furthermore, Brouwer’s Continuity Principle together with his well known Fan Theorem (for detachable bars) are considered in the discussion