Some more twisted Hilbert spaces

نویسندگان

چکیده

We provide three new examples of twisted Hilbert spaces by considering properties that are "close" to Hilbert. denote them \(Z(\mathcal J)\), S^2)\) and T_s^2)\). The first space is asymptotically Hilbertian but not weak On the opposite side, T_s^2)\) Hilbertian. Moreover, a HAPpy technique prove it gives "twisted" version theorem Johnson Szankowski (Ann. Math. 176:1987-2001, 2012). This is, we can construct nontrivial such isomorphism constant from its \(n\)-dimensional subspaces \(\ell_2^n\) grows infinity as slowly wish when \(n\to \infty\).

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Some More Weak Hilbert Spaces

We give new examples of weak Hilbert spaces.

متن کامل

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

15 صفحه اول

Twisted Hilbert Spaces and Unconditional Structure

We show that a twisted Hilbert space with an unconditional basis is isomorphic to a Hilbert space.

متن کامل

Some Properties of Reproducing Kernel Banach and Hilbert Spaces

This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels an...

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: Annales Fennici Mathematici

سال: 2021

ISSN: ['2737-0690', '2737-114X']

DOI: https://doi.org/10.5186/aasfm.2021.4653