- Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Dergisi
- Cilt: 19 Sayı: 1
- L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions
L ∞ Spaces of Vector-Valued Functions as Spaces of Continuous Functions
Authors : Banu Güntürk
Pages : 1-7
Doi:10.29233/sdufeffd.1396580
View : 47 | Download : 24
Publication Date : 2024-05-27
Article Type : Research
Abstract :It is proved that for any decomposable perfect measure space (????, ????, ????), the space ????????∗∞ (????, ????*) of essentially bounded weak* measurable functions on ???? to ????* is linearly isometric to the space ????(????,????∗*) of continuous functions on ???? to ????∗*, the latter space is being provided with the supremum norm ‖????‖∞ = sup????∈????‖????(????)‖ where ????∗* stands for the space ????* endowed with its weak* topology.Keywords : ???? ∞ Space, Vector-Valued Functions, Perfect Measure, Hyperstonean Space, Continuous Function Spaces