Yorke, A.C. (1985) Rotundity redux. Journal of the Australian Mathematical Society, 38 (02). pp. 143-151.
*Subscription may be required
Recently the concept of uniform rotundity was generalized for real Banach spaces by using a type of “area” devised for these spaces. This paper modifies the methods used for uniform rotundity and applies them to weak rotundity in real and complex spaces. This leads to the definition of k-smoothness, k-very smoothness and k-strong smoothness. As an application, several sufficient conditions for reflexivity are obtained.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Mathematical and Physical Sciences|
|Publisher:||Cambridge University Press|
|Copyright:||© 1985, Australian Mathematical Society.|
|Item Control Page|
Downloads per month over past year