Power type uniform convexity of X via p-asymptotic uniform convexity of L-r(X) Academic Article

abstract

• We show that if Lr(x), 1 < r < , has an asymptotically uniformly convex renorming of power type then x admits a uniformly convex norm of power type.

authors

• Johnson, William

published proceedings

• HOUSTON JOURNAL OF MATHEMATICS

author list (cited authors)

• Garcia, C. L., & Johnson, W. B.

complete list of authors

• Garcia, CL||Johnson, WB

publication date

• July 2003

published in

• HOUSTON JOURNAL OF MATHEMATICS  Journal

keywords

• Asymptotically Uniformly Convex
• Asymptotically Uniformly Smooth
• Lebesgue-bochner Spaces
• Martingale

start page

• 393

end page

• 402

volume

• 29

issue

• 2