On Twisted Sums of Sequence Spaces
نویسندگان
چکیده
منابع مشابه
Twisted Sums , Fenchel - Orlicz Spaces
A twisted sum Z of two Banach spaces X and Y is defined (see [11]) through a short exact sequence: 0 −→ X −→ Z −→ Y −→ 0. These short exact sequences in the category of (quasi-)Banach spaces are considered naturally in the investigation of three space properties (a property P in the category of quasi-Banach spaces is called a three space property if for every short exact sequence as above, Z ha...
متن کاملTwisted Sums with C(k) Spaces
If X is a separable Banach space, we consider the existence of non-trivial twisted sums 0 → C(K) → Y → X → 0, where K = [0, 1] or ωω . For the case K = [0, 1] we show that there exists a twisted sum whose quotient map is strictly singular if and only if X contains no copy of `1. If K = ωω we prove an analogue of a theorem of Johnson and Zippin (for K = [0, 1]) by showing that all such twisted s...
متن کاملTwisted T -adic Exponential Sums
The L-function and C-function of twisted T -adic exponential sums are defined. The Hodge bound for the T -adic Newton polygon of the C-function is established. As an application, the T -adic Newton polygons of the L-functions of twisted p-power order exponential sums associated to diagonal forms are explicitly given. 1. Preliminaries Let Fq be the field of characteristic p with q elements, and ...
متن کاملUniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed Spaces
Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy boundedsubset of $X$. We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. Then we will show that in these spaces, all fuzzyuniquely remotal sets are singletons.
متن کاملذخیره 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: JOURNAL OF ADVANCES IN MATHEMATICS
سال: 2018
ISSN: 2347-1921
DOI: 10.24297/jam.v15i0.7901