Quasi-Compactness in Quasi-Banach Spaces
Keyword(s):
Quasi-compactness in a quasi-Banach space for the sequence space Lp, p< 0 < p <1 has been introduced based on the important extension of Milman's reverse Brunn-Minkowiski inequality by Bastero et al. in 1995. Moreover, Many interesting results connected with quasi-compactness and quasi-completeness in a quasi-normed space, Lp for 0 < p < 1 have been explored. Furthermore, we have shown that, the quasi-normed space under which condition is a quasi Banach space. Also, we have shown that the space if it is quasi-compact in quasi normed space then it is quasi Banach space and the converse is not true. Finally, a sufficient condition of the existence for a quasi-compact operator from Lp -> Lp has been presented and analyzed.
1991 ◽
Vol 14
(3)
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pp. 611-614
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1989 ◽
Vol 32
(2)
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pp. 169-191
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2014 ◽
Vol 12
(02)
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pp. 1450015
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2005 ◽
Vol 2005
(24)
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pp. 3895-3908
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2009 ◽
Vol 07
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pp. 1-7
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1995 ◽
Vol 38
(1)
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pp. 1-12
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2010 ◽
Vol 08
(02)
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pp. 243-252
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1986 ◽
Vol 34
(1)
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pp. 87-92
2019 ◽
Vol 17
(01)
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pp. 1850066
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2004 ◽
Vol 77
(3)
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pp. 365-370
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