Schauder basis in a locally K - convex space and perfect sequence spaces

Abstract

In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K− convex space E with a Schauder basis (e i ) i to such Space. We are also interested with the compatible topologies on E for which the basis(e i ) i is equicontinuous, and the weak basis problem. Finally, we give some applications to barrelled Spaces and G−Spaces.

Access to Mono‐, Di‐ and Tri‐(Het)Arylated Pyrazolo[5,1‐b]oxazoles Using Cyclization, C−H Activation and Suzuki–Miyaura Palladium‐Catalyzed Reactions

“…Pyrazoles and oxazoles have emerged as powerful moieties in natural products and serve as key pharmacophores for drug elaboration [1–6] . Numerous bioactive compounds, including antibiotics, antivirals, and anticancer agents, contain the pyrazole or oxazole pattern as a part of their structure [7–14] .…”