Abstract
In this work, we construct vector spaces $l_{p}\left( \mathbb{BC}\left(N\right) \right) $ of absolutely $p-$ summable $\ast -$bicomplex sequences with the $\ast -$ norm $\overset{..}{\parallel }.\overset{..}{\parallel }_{2,l_{p}\left( \mathbb{BC}\left( N\right) \right) }$ over the field $\mathbb{C}\left( N\right).$ Also, we show that some inclusion relations hold and these vector spaces are Banach spaces by using Minkowski's inequality in $\mathbb{BC}\left( N\right) $ with respect to $\overset{..}{\parallel }.\overset{..}{\parallel }_{2}.$
Citation
Nilay Sager. Birsen Sağir. "Banach spaces $l_{p}\left( \mathbb{BC}\left( N\right) \right) $ with the $\ast -$ norm $\overset{..}{\parallel }.\overset{..}{\parallel }_{2,l_{p}\left( \mathbb{BC}\left( N\right) \right) }$ and some properties." Tbilisi Math. J. 14 (2) 65 - 81, June 2021. https://doi.org/10.32513/tmj/19322008123
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