TY  - JOUR
T1  - L ∞  Spaces of Vector-Valued Functions as Spaces of Continuous Functions
AU  - Güntürk, Banu
PY  - 2024
DA  - May
Y2  - 2023
DO  - 10.29233/sdufeffd.1396580
JF  - Süleyman Demirel University Faculty of Arts and Science Journal of Science
PB  - Süleyman Demirel University
WT  - DergiPark
SN  - 1306-7575
SP  - 1
EP  - 7
VL  - 19
IS  - 1
LA  - en
AB  - It is proved that for any decomposable perfect measure space (𝑍, 𝒜, 𝜇), the space 𝐿𝜔∗∞ (𝜇, 𝐸*) of essentially bounded weak* measurable  functions on 𝑍 to 𝐸* is linearly isometric to the space 𝐶(𝑍,𝐸∗*) of continuous functions on 𝑍 to 𝐸∗*, the latter space is being provided with the supremum norm ‖𝑔‖∞ = sup𝑧∈𝑍‖𝑔(𝑧)‖⁡ where 𝐸∗* stands for the space 𝐸* endowed with its weak* topology.
KW  - 𝐿
∞ Space
KW  - Vector-Valued Functions
KW  - Perfect Measure
KW  - Hyperstonean Space
KW  - Continuous Function Spaces
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UR  - https://doi.org/10.29233/sdufeffd.1396580
L1  - https://dergipark.org.tr/en/download/article-file/3562166
ER  -