Başar, Feyzí Infinite matrices and almost boundedness. (English) Zbl 0867.47021 Boll. Unione Mat. Ital., VII. Ser., A 6, No. 3, 395-402 (1992). Let \(\widehat{m}\) denote the space of almost bounded sequences. Let \((X:Y)\) denote the class of all infinite matrices transforming \(X\) into \(Y\). The author characterizes the classes \((\ell(p): \widehat{m}(r))\), \((\ell(p), \widehat{bs}(r))\), \((c_0(p), \widehat{m}(r))\), and \((c_0(p), \widehat{bs}(r))\). Unfortunately, the set of all almost bounded sequences is nothing but the set \(m\) of all bounded sequences. Because of this fact, the author’s results are not refined. Reviewer: K.Chandrasekhara Rao (Karaikudi) Cited in 13 Documents MSC: 47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 46A45 Sequence spaces (including Köthe sequence spaces) Keywords:matrix transformation; sequence spaces; space of almost bounded sequences; infinite matrices PDFBibTeX XMLCite \textit{F. Başar}, Boll. Unione Mat. Ital., VII. Ser., A 6, No. 3, 395--402 (1992; Zbl 0867.47021)