Linear operators in finite dimensional probabilistic normed spaces

Finite dimensional intuitionistic fuzzy normed linear spaces

In this paper, the definition of intuitionistic fuzzy normed linear space which is introduced in an earlier paper by R. Saadati et al. [15] is redefined and based on this revised definition we have studied completeness and connectedness of finite dimensional intuitionistic fuzzy normed linear spaces.

Finite dimensional fuzzy normed linear spaces

In this paper we consider general t-norm in the definition of fuzzy normed linear space which is introduced by the authors in an earlier paper. It is proved that if t-norm is chosen other than ”min” then decomposition theorem of a fuzzy norm into a family of crisp norms may not hold. We study some basic results on finite dimensional fuzzy normed linear spaces in general t-norm setting. 2010 AMS...

Euclidean Structure in Finite Dimensional Normed Spaces

Soft linear operators in soft normed linear spaces

In the present paper an idea of soft linear operator over soft linear spaces has been introduced and some basic properties of such operators are studied. Spaces of continuous soft linear operators are investigated and lastly the inverse of a soft linear operator is defined and its properties are studied. 2010 AMS Classification: 03E72, 08A72

Approximate Isometries on Finite-dimensional Normed Spaces

Every ε-isometry u between real normed spaces of the same finite dimension which maps the origin to the origin may by uniformly approximated to within 2ε by a linear isometry. Under a smoothness hypothesis, necessary and sufficient conditions are obtained for the same conclusion to hold for a given ε-isometry between infinite-dimensional Banach spaces.