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The most apparent aspect of the present study is to introduce a new sequence space $\Phi^\star(\mathcal{L}_{p})$ derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the $\alpha-$, $\beta(bp)-$ and $\gamma-$duals of the space $\Phi^\star(\mathcal{L}_{p})$ are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.
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참고문헌 (33)
참고문헌 신청
C. R. Adams / 1933 / On non-factorable transformations of double sequences / Proc. Natl. Acad. Sci. USA 19(5):564~567
B. Altay / 2005 / Some new spaces of double sequences / J. Math. Anal. Appl 309(1):70~90
F. Bas.ar / 2012 / Summability Theory and Its Applications / Bentham Science Publish-ers, e-book
F. Başar / 2009 / The space Lq of double sequences / Math. J. Okayama Univ 51:149~157
J. Boss / 2000 / Classical and Modern Methods in Summability / Oxford University Press
B. Altay / 2005 / Some new spaces of double sequences / J. Math. Anal. Appl 309(1):70~90
F. Bas.ar / 2012 / Summability Theory and Its Applications / Bentham Science Publish-ers, e-book
F. Başar / 2009 / The space Lq of double sequences / Math. J. Okayama Univ 51:149~157
J. Boss / 2000 / Classical and Modern Methods in Summability / Oxford University Press
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