Gap functionals, proximities and hyperspace compactification
نویسندگان
چکیده
منابع مشابه
Almost multiplicative linear functionals and approximate spectrum
We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...
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Article history: Received 4 August 2008 Received in revised form 12 December 2008 Accepted 13 December 2008 MSC: 54E05 54D35 54G05
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2005
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.01.021