@Article{JCM-2-33, author = {}, title = {Cardinalities of Restricted Ranges}, journal = {Journal of Computational Mathematics}, year = {1984}, volume = {2}, number = {1}, pages = {33--40}, abstract = {

Let $l$ and $u$ be upper and lower semicontinuous extended functions on [a,b], respectively, with $l≤u$. Let $H$ be an n-dimensional Haar subspace and $K=\{p\in H:l\leq p\leq u\}$. This paper gives complete characterizations of K satisfying $$card \ K=0 \ or \ 1 \  or \ ∞$$ under certain assumptions, where card K denotes the cardinality of K.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9637.html} }