orlicz property
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scholarly journals q-CONCAVITY AND q-ORLICZ PROPERTY ON SYMMETRIC SEQUENCE SPACES

2001 ◽  
Vol 5 (2) ◽  
pp. 331-352 ◽  
Author(s):  
Oscar Blasco ◽  
Teresa Signes
Keyword(s):  
Sequence Spaces ◽  
Orlicz Property

Orlicz property and cotype in symmetric sequence spaces

1994 ◽  
Vol 87 (1-3) ◽  
pp. 181-192 ◽  
Author(s):  
Michel Talagrand
Keyword(s):  
Sequence Spaces ◽  
Orlicz Property

scholarly journals The weak cotype 2 and the Orlicz property of the Lorentz sequence space d(a, 1)

1992 ◽  
Vol 34 (3) ◽  
pp. 271-276
Author(s):  
J. Zhu
Keyword(s):  
Banach Space ◽  
Function Space ◽  
Sequence Space ◽  
Affirmative Answer ◽  
Sequence Spaces ◽  
Similar Question ◽  
Lorentz Sequence Space ◽  
Symmetric Basis ◽  
Orlicz Property

The question “Does a Banach space with a symmetric basis and weak cotype 2 (or Orlicz) property have cotype 2?” is being seriously considered but is still open though the similar question for the r.i. function space on [0, 1] has an affirmative answer. (If X is a r.i. function space on [0, 1] and has weak cotype 2 (or Orlicz) property then it must have cotype 2.) In this note we prove that for Lorentz sequence spaces d(a, 1) they both hold.

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