Banach Lattice Structures and Concavifications in Banach Spaces

نویسندگان
چکیده

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

Stable Banach Spaces and Banach Space Structures, I: Fundamentals

We study model theoretical stability for Banach spaces and structures based on Banach spaces, e.g., Banach lattices or C∗-algebras. We prove that a theory is stable if and only if the following condition is true in every model E of the theory: If (ām ) and (b̄n) are bounded sequences in Ek and El (respectively) and R : Ek × El → R is definable, then there exist subsequences (āmi ) and (b̄n j ) su...

متن کامل

Banach Spaces Determined by Their Uniform Structures

Following results of Bourgain and Gorelik we show that the spaces lp, 1 < p < ∞, as well as some related spaces have the following uniqueness property: If X is a Banach space uniformly homeomorphic to one of these spaces then it is linearly isomorphic to the same space. We also prove that if a C(K) space is uniformly homeomorphic to c0, then it is isomorphic to c0. We show also that there are B...

متن کامل

Banach Spaces

(A revised and expanded version of these notes are now published by Springer.) 1 Banach Spaces Definition A normed vector space X is a vector space over R or C with a function called the norm. 1. The set of real numbers with the norm taken to be the absolute value.

متن کامل

Banach Spaces

Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/fun/notes 2012-13/05 banach.pdf] 1. Basic definitions 2. Riesz’ Lemma 3. Counter-example: non-existence of norm-minimizing element 4. Normed spaces of continuous linear maps 5. Dual spaces of normed spaces 6. Banach-Steinhaus/uniform-boundedness theorem 7. Open mapping theore...

متن کامل

Nonsmooth and Nonlocal Differential Equations in Lattice-ordered Banach Spaces

In this paper, we apply fixed point results for mappings in partially ordered function spaces to derive existence results for initial and boundary value problems in an ordered Banach space E. Throughout this paper, we assume that E satisfies one of the following hypotheses. (A) E is a Banach lattice whose every norm-bounded and increasing sequence is strongly convergent. (B) E is a reflexive la...

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: Mathematics

سال: 2020

ISSN: 2227-7390

DOI: 10.3390/math8010127