@Article{ATA-34-92, author = {}, title = {On Quasi-Chebyshevity Subsets of Unital Banach Algebras}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {1}, pages = {92--102}, abstract = {

In this paper, first, we consider closed convex and bounded subsets of infinite-dimensional unital Banach algebras and show with regard to the general conditions that these sets are not quasi-Chebyshev and pseudo-Chebyshev. Examples of those algebras are given including the algebras of continuous functions on compact sets. We also see some results in $\rm{C}^*$-algebras and Hilbert $\rm{C}^*$-modules. Next, by considering some conditions, we study Chebyshev of subalgebras in $\rm{C}^*$-algebras.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2018.v34.n1.7}, url = {http://global-sci.org/intro/article_detail/ata/12547.html} }