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Matrix transformations on mixed paranorm spaces

Malkowsky Eberhard (Državni Univerzitet u Novom Pazaru, Novi Pazar)
Özger Faruk (Izmir Katip Celebi University, Department of Engineering Sciences, Izmir, Turkey)
Veličković Vesna (Faculty of Science and Mathematics, Department of Computer Science, Niš)

Recently the concept of mixed norm spaces was generalized to that of the mixed paranorm spaces [l(r),lp]. Here we determine the classes of matrix transformations from [l(r),lp] into the spaces of bounded, convergent and null sequences, and into the spaces of all bounded, convergent and absolutely convergent series. We also obtain many correponding known results for mixed norm spaces as special cases and visualize some neighborhoods in the spaces [l(r),lp].

Keywords: mixed panorm sequence spaces, matrix transformations and visualization