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Linear minimal space

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  • Alimohammady, M.
  • Roohi, M.

Abstract

This paper deals with minimal linear spaces, m-continuity and m-boundedness. In particular, it is found that in a linear minimal space (X,M) the assignment x↦t0x+x0 from X to X is m-continuous. On the other hand, the convex hull of an m-neighborhood of 0 is an m-neighborhood if (X,M) has property U.

Suggested Citation

  • Alimohammady, M. & Roohi, M., 2007. "Linear minimal space," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1348-1354.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1348-1354
    DOI: 10.1016/j.chaos.2006.01.100
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "Non-Euclidean spacetime structure and the two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 1-6.
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    1. Alimohammady, M. & Roohi, M. & Delavar, M.R., 2009. "Transfer closed and transfer open multimaps in minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1162-1168.
    2. Alimohammady, M. & Roohi, M., 2009. "Extreme points in minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1480-1485.

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