Operators on Weak Hypervector Spaces

Authors

  • Ali Taghavi Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
  • Roja Hosseinzadeh Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.

Keywords:

weak hypervector space, weak subhypervector space, normal weak hypervector space, weak linear operator

Abstract

Let X and Y be weak hypervector spaces and Lw (X,Y ) be the set of all weak linear operators from X into Y . We prove some algebraic properties of Lw (X,Y ).

References

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A. Taghavi and R. Hosseinzadeh, A note on dimension of weak hyper-vector spaces, Italian J. of Pure and Appl. Math, To appear.

A. Taghavi and R. Hosseinzadeh, Hahn-Banach Theorem for function-als on hypervector spaces, The Journal of Mathematics and Computer Science, Vol .2 No.4 (2011) 682-690.

A. Taghavi and R. Hosseinzadeh, Operators on normed hypervector spaces, Southeast Asian Bulletin of Mathematics, (2011) 35: 367-372.

A. Taghavi and R. Hosseinzadeh, Uniform Boundedness Principle for operators on hypervector spaces, Iranian Journal of Mathematical Sci-ences and Informatics, Accepted.

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Published

2012-06-10

Issue

Vol. 22 (2012)

Section

Volume 22-2012

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