On the projection constants of some topological spaces and some applications

HIGHLIGHTS

  • who: TOPOLOGICAL SPACES and collaborators from the (UNIVERSITY) have published the article: ON THE PROJECTION CONSTANTS OF SOME TOPOLOGICAL SPACES AND SOME APPLICATIONS, in the Journal: (JOURNAL) of 13/05/2001

SUMMARY

    For Banach spaces X and Y there is a norm one projection from l∞ (UX* ) ⊗(∨ or ∧) l∞ (UY * ) onto l∞. Since the space l∞ has the 1-extension property, it is sufficient to show that l∞ can be isometrically embedded in the space l∞ (UX* )⊗(∨ or ∧) l∞ (UY * ). (2.3) F (f )=sup F (f, g), g∈UY * f ∈UX* Clearly . . .

     

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