Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
DEMONSTRATIO MATHEMATICAVol. XXIXNo 41996Roshdi KhalilS M O O T H P O I N T S OF U N I T BALLSOF O P E R A T O R A N D F U N C T I O N SPACES0. IntroductionLet X be a Banach space and i?i(X) be the unit ball of X. A pointx G B\(X) is called a smooth point if there exists a unique / G X*, thedual of X, such that f(x) = ||/|| = 1.In [4], Holub characterized the smooth points of Bi(N(l2))andB\(K(l2)), where N(X)K(X))denotes the nuclear (compact) operators onX. Smooth points of B\(K{lp)) and B\{L{lp))l < p < oo were studied in[1], where L(X) is the space of bounded linear operators on X.The structure of the Hilbert space I 2 , was heavily used in the study ofsmooth points of B\{N(l2)), in [4], So the proofs can't be generalized to thecase of lp, p ^ 2. Another difference between the cases of I2 and lp,p ^ 2, isthe fact that the extreme points of B\{L{12)) are completely characterized(in [5]), while the description of the extreme points of B\(L(lp)) is a verydifficult (and an open) problem, [6].In Section II of this
Demonstratio Mathematica – de Gruyter
Published: Oct 1, 1996
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.