Two-parameter vector-valued martingales and geometrical properties of Banach spaces

1999 ◽  
Vol 4 (2) ◽  
pp. 135-142 ◽  
Author(s):  
Cheng Ri-yan ◽  
Gan Shi-xin
Keyword(s):  
Banach Spaces ◽  
Parameter Vector ◽  
Geometrical Properties ◽  
Vector Valued ◽  
Two Parameter

scholarly journals Constructing Banach spaces of vector-valued sequences with special properties

2015 ◽  
Vol 64 (3) ◽  
pp. 539-554 ◽  
Author(s):  
Geraldo Botelho ◽  
Vinícius Fávaro
Keyword(s):  
Banach Spaces ◽  
Vector Valued

scholarly journals Multipliers on Vector Valued Bergman Spaces

2002 ◽  
Vol 54 (6) ◽  
pp. 1165-1186 ◽  
Author(s):  
Oscar Blasco ◽  
José Luis Arregui
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Bergman Space ◽  
Unit Disc ◽  
Bergman Spaces ◽  
Complex Banach Space ◽  
Bounded Operators ◽  
Taylor Coefficients ◽  
Vector Valued

AbstractLet X be a complex Banach space and let Bp(X) denote the vector-valued Bergman space on the unit disc for 1 ≤ p < ∞. A sequence (Tn)n of bounded operators between two Banach spaces X and Y defines a multiplier between Bp(X) and Bq(Y) (resp. Bp(X) and lq(Y)) if for any function we have that belongs to Bq(Y) (resp. (Tn(xn))n ∈ lq(Y)). Several results on these multipliers are obtained, some of them depending upon the Fourier or Rademacher type of the spaces X and Y. New properties defined by the vector-valued version of certain inequalities for Taylor coefficients of functions in Bp(X) are introduced.

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