A NOTE ON CERTAIN QUOTIENT SPACES OF BOUNDED LINEAR OPERATORS

INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS

The object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. Relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.

A Note on Weighted Composition Operators on L^p-Spaces

A comparative study of fuzzy norms of linear operators on a fuzzy normed linear spaces

In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS

In this note, we aim to present some properties of the space of all weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness of this space is studied. By some counterexamples, it is shown that the inverse mapping theorem and the Banach-Steinhaus’s theorem, are not valid for this fuzzy setting. Also...

Density Invariance of Certain Operational Quantities of Bounded Linear Operators in Normed Spaces

Based on ideas of R.W. Cross, a simplified proof is presented of the density invariance of certain operational quantities associated with bounded linear operators in normed vector spaces. Let X , Y denote normed linear spaces and let T : X → Y be a bounded linear operator. Let I(X) denote the collection of infinite dimensional subspaces of X . For any subspace M of X , let SM = {m ∈ M : ‖m‖ = 1...