Geodesic
The Riesz Aspects of χ2 Sequence Spaces
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 277

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Let $\chi^{2}$ denote the space of all double gai sequences. Let $\Lambda^{2}$ denote the space of all double analytic sequences. In this paper we introduce the concept of sectional analyticity. We also prove a theorem on type $M_{\left(\chi^{2}:\chi^{2}\right)}$ and also the mean value condition is established. We construct a mildly conservative FK-space, which is not semi-conservative.
Classification : 40A05 40C05 40D05
Keywords: Gai sequence, analytic sequence, double sequences, Riesz sequence, dual, sectional analyticity, type $M_{\left(\chi^{2q}_{r}:\chi^{2q}_{r}\right)}$, mean value property, mildly conservative spaces. 
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     author = {Nagarajan Subramanian and Umakanta Misra},
     title = {The {Riesz} {Aspects} of \ensuremath{\chi}2 {Sequence} {Spaces}},
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Nagarajan Subramanian; Umakanta Misra. The Riesz Aspects of χ2 Sequence Spaces. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 277 . http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a10/