Cardinalities of Restricted Ranges

Cardinalities of Restricted Ranges

Year:    1984

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1984-JCM-9637

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 1 : pp. 33–40

Published online:    1984-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: