On generalized paranormed statistically convergent sequence spaces defined by Orlicz function.
On Hardy's inequality and eigenvalue distributions
On ideals of operators and of locally convex spaces.
On inclusion relations between Lorentz sequence spaces and inequalities of Lewis type.
On isomorphic classification of tensor products [Book]
On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces
Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant , and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the -constant, which implies that a Banach space with -constant less than 5/4 has the fixed point property.
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)