Classes of D(Ψ)-functions, D(LΨ)-spaces, and Orlicz spaces

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

On difference sequence spaces defined by Orlicz functions without convexity

In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.  

double sequence spaces defined by orlicz functions

in this paper we introduce some new double sequence spaces using the orlicz function andexamine some properties of the resulting sequence spaces.

Subalgebras of Orlicz spaces and related algebras of analytic functions

An Orlicz function ~0 is a real-valued function defined as [0, ~o) satisfying the condition (a) ~0 is non-decreasing (b) (p(0)=0 and ~o is continuous at 0 and (c) (o is not identically zero. In addition ~o satisfies the A2-condition at ~o provided for some C and x (1.0.1) ~0(2x) <_c q , ( x ) x >x or equivalently, for some C (1.0.2) q~(Zx) ~ C( (p (x )+ l ) 0 <_x <o~. I f ~0 satisfies the A.,-c...

Some Classes of Almost Convergent Paranormed Sequence Spaces Defined by Orlicz Functions