Abstract
In this chapter, we study some sequence spaces of non-absolute type, namely \(\lambda \)-sequence spaces as matrix domains of classical sequence spaces \(c_{0}, c, \ell _{\infty }\) and \(\ell _{p}\; (1\le p<\infty )\). We establish some inclusion relations concerning with those spaces and determine their \(\alpha \)-, \(\beta \)-, and \(\gamma \)-duals. Finally, we characterize some related matrix classes.
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Banaś, J., Mursaleen, M. (2014). Some New Sequence Spaces of Non-absolute Type. In: Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1886-9_3
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DOI: https://doi.org/10.1007/978-81-322-1886-9_3
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