Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the p-Amemiya norm

Amemiya Norm Equals Orlicz Norm in General*

We present a proof that in Orlicz spaces the Amemiya norm and the Orlicz norm coincide for any Orlicz function ‘p. This gives the answer for an open problem. We also give a description of the Amemiya type for the Mazur-Orlicz F-norm.

ISOMETRIC COPIES OF l AND l∞ IN ORLICZ SPACES EQUIPPED WITH THE ORLICZ NORM

Criteria in order that an Orlicz space equipped with the Orlicz norm contains a linearly isometric copy (or an order linearly isometric copy) of l1 (or l∞) are given.

Best Simultaneous Approximation in Orlicz Spaces

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.

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...