Resolution property in generalized k-spaces

On Generalized Injective Spaces in Generalized Topologies

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...

Generalized Frames in Hilbert Spaces

The Blum-hanson Property for C(k) Spaces

We show that if K is a compact metrizable space, then the Banach space CpKq has the so-called Blum-Hanson property exactly when K has finitely many accumulation points. We also show that the space `8pNq CpβNq does not have the Blum-Hanson property.

Continuous $k$-Fusion Frames in Hilbert Spaces

The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames  which is important for frame applications, have been specified  completely for the c...

Multipliers of generalized frames in Hilbert spaces