scholarly journals A general Extrapolation Theorem for absolutely summing operators

2012 ◽  
Vol 44 (6) ◽  
pp. 1292-1302 ◽  
Author(s):  
D. Pellegrino ◽  
J. Santos ◽  
J. B. Seoane-Sepúlveda
Keyword(s):  
Absolutely Summing Operators ◽  
Extrapolation Theorem

scholarly journals (r,p)-absolutely summing operators on the spaceC (T,X)and applications

2001 ◽  
Vol 6 (5) ◽  
pp. 309-315 ◽  
Author(s):  
Dumitru Popa
Keyword(s):  
Integral Operator ◽  
Tensor Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Summing Operator ◽  
Absolutely Summing Operators ◽  
Injective Tensor Product ◽  
Absolutely Summing Operator ◽  
Necessary And Sufficient

We give necessary and sufficient conditions for an operator on the spaceC (T,X)to be(r,p)-absolutely summing. Also we prove that the injective tensor product of an integral operator and an(r,p)-absolutely summing operator is an(r,p)-absolutely summing operator.

Decomposability of cylindrical martingales and absolutely summing operators

1984 ◽  
Vol 185 (2) ◽  
pp. 271-280 ◽  
Author(s):  
Zdzis?aw Suchanecki ◽  
Aleksander Weron
Keyword(s):  
Absolutely Summing Operators
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