Octahedral norms in tensor products of Banach spaces

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Denting Points in Tensor Products of Banach Spaces

Let dent A denote the set of denting points of a subset A of some Banach space. We prove dent cl co( K ® L) = dent K ® dent L for closed, bounded, absolutely convex subsets K and L of Banach spaces X and Y. Here the closure refers to the completion of X ® Y w.r.t. some reasonable crossnorm.

متن کامل

Antiproximinal Norms in Banach Spaces

We prove that every Banach space containing a complemented copy of c0 has an antiproximinal body for a suitable norm. If, in addition, the space is separable, there is a pair of antiproximinal norms. In particular, in a separable polyhedral space X, the set of all (equivalent) norms on X having an isomorphic antiproximinal norm is dense. In contrast, it is shown that there are no antiproximinal...

متن کامل

^-convolution Operators and Tensor Products of Banach Spaces

intimately connected with duality theory (the notation is that of [1]). In both cases the middle algebra is the closure of L(G) in the dual of the first algebra and also the predual of the third algebra (at least when G is amenable in the second case). Furthermore, the third algebra is closely connected with the multiplier algebra of the first algebra. For abelian groups, compact or discrete, V...

متن کامل

Tensor Products of Closed Operators on Banach Spaces

Let A and B be closed operators on Banach spaces X and Y. Assume that A and B have nonempty resolvent sets and that the spectra of A and B are unbounded. Let 01 be a uniform cross norm on X @ Y. Using the Gelfand theory and resolvent algebra techniques, a spectral mapping theorem is proven for a certain class of rational functions of A and B. The class of admissable rational functions (includin...

متن کامل

Interpolation of Banach Algebras and Tensor Products of Banach Couples

We consider interpolation of unital Banach algebras, in the special case when the intersection space is non-unital, giving precise conditions of when an interpolation algebra is unital.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Quarterly Journal of Mathematics

سال: 2017

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qmath/hax020