K-Convexity and Duality for Almost Summing Operators
2000 ◽
Vol 7
(2)
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pp. 245-268
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Abstract For a fixed sequence f. = (fn ) of independent identically distributed symmetric random variables with , we introduce the notion of Kf. -convex Banach space and the notions of (fn )-bounding and (fn )-converging operators acting between Banach spaces. It is shown that the dual of the space of (fn )-converging operators between a Hilbert space and a Kf. -convex Banach space admits a precise description in terms of trace duality. The obtained results recover similar formulations for almost summing and γ-Radonifying operators.
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2005 ◽
Vol 71
(1)
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pp. 107-111
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1991 ◽
Vol 14
(3)
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pp. 611-614
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2010 ◽
Vol 03
(01)
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pp. 1-19
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2002 ◽
Vol 133
(3)
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pp. 515-530
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2018 ◽
Vol 97
(2)
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pp. 285-292
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1979 ◽
Vol 2
(2)
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pp. 309-323
2020 ◽
Vol 1664
(1)
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pp. 012038
1999 ◽
Vol 59
(2)
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pp. 177-180
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