@Article{ATA-34-92,
author = {M. Iranmanesh and F. Soleimany},
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 = {<p style="text-align: justify;">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.<br/></p>},
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}
}