Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 19 Issue 2
- /
- Pages.197-206
- /
- 2006
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
GENERALIZED QUASI-BANACH SPACES AND QUASI-(2; p)-NORMED SPACES
- Park, Choonkil (Department of Mathematics Chungnam National University)
- Received : 2006.04.12
- Published : 2006.06.30
Abstract
In this paper, the notion of a generalized quasi-normed space is introduced and its completion is investigated. We introduce quasi-2-normed spaces and quasi-(2; p)-normed spaces, and investigate the properties of quasi-2-normed spaces and quasi-(2; p)-normed spaces.
Keywords
- Generalized quasi-normed space;
- Completion;
- Linear 2-normed space;
- Quasi-2-normed space;
- Quasi-(2: p)-normed space