This article is cited in 2 papers

Bounded compactness of sets in linear metric spaces

A. I. Vasil'ev

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR

Abstract: An analog of the well known concept of bounded compactness from the theory of normed spaces is investigated in a linear metric space $X$. From the results obtained follows, for example, a sufficient condition for approximative compactness of a finite-dimensional subspace $L\subset X$.

UDC: 513.88

Received: 02.02.1971

 English version: Mathematical Notes, 1972, 11:6, 396–401

Bibliographic databases:

• 
•