On Köthe-Toeplitz duals of generalized difference sequence spaces.
On matrix transformations concerning the Nakano vector-valued sequence space.
On matrix transformations of some generalized sequence space
On minimality and lp-complemented subspaces of Orlicz function spaces.
Several properties of the class of minimal Orlicz function spaces LF are described. In particular, an explicitly defined class of non-trivial minimal functions is shown, which provides concrete examples of Orlicz spaces without complemented copies of F-spaces.
On modular sequence spaces
On non-primary Fréchet Schwartz spaces
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic functions...
On non-solid Köthe space of type
On Orlicz functions of generalized difference sequence spaces.
On Pelczynski's property (V*) in vector sequence spaces.
On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].
On quasi almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli
On some BK spaces.
On some classes of function sequence spaces
On some classes of linear function transformations of sequences (III)
On some difference sequence sets and their topological properties.
On some expressions for the Riesz angles of Orlicz sequence spaces.
On some generalized -difference Riesz sequence spaces and uniform Opial property.
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
On some geometrical properties of generalized modular spaces of Cesàro type defined by weighted means. (On some geometrical properties of generalized modular spaces of Cesáro type defined by weighted means.)
On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function.