TY - JOUR
T1 - Cardinalities of Restricted Ranges
AU - Ying-Guang Shi
JO - Journal of Computational Mathematics
VL - 1
SP - 33
EP - 40
PY - 1984
DA - 1984/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9637.html
KW - 
AB - <p style="text-align: justify;">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 $$card \ K=0 \ or \ 1 \&nbsp; or \ ∞$$ under certain assumptions, where card K denotes the cardinality of K.</p>