Abstract
We assume that X is a normed linear space, W and M are subspaces of X. We develop a theory of best simultaneous approximation in quotient spaces and introduce equivalent assertions between the subspaces W and W + M and the quotient space W/M.
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Iranmanesh, M., Mohebi, H. On best simultaneous approximation in quotient spaces. Analys in Theo Applic 23, 35–49 (2007). https://doi.org/10.1007/s10496-001-0035-y
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DOI: https://doi.org/10.1007/s10496-001-0035-y
Key words
- quotient space
- best simultaneous approximation
- simultaneous pseudo-Chebyshev
- simultaneous quasi-Chebyshev
- simultaneous weakly-Chebyshev