Vector-valued Lorentz sequence spaces and their dual 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

Operator Valued Series and Vector Valued Multiplier Spaces

‎Let $X,Y$ be normed spaces with $L(X,Y)$ the space of continuous‎ ‎linear operators from $X$ into $Y$‎. ‎If ${T_{j}}$ is a sequence in $L(X,Y)$,‎ ‎the (bounded) multiplier space for the series $sum T_{j}$ is defined to be‎ [ ‎M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}%‎ ‎T_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator $S:M^{infty}(sum T_{j})rightarrow Y$ associat...

متن کامل

Vector Valued multiple of $chi^{2}$ over $p$-metric sequence spaces defined by Musielak

In this article, we define the vector valued multiple of $chi^{2}$ over $p$-metric sequence spaces defined by Musielak and study some of their topological properties and some inclusion results.

متن کامل

Generalized Vector-Valued Sequence Spaces Defined by Modulus Functions

We introduce the vector-valued sequence spaces w∞ Δ, F,Q, p, u , w1 Δ, F,Q, p, u , and w0 Δ, F,Q, p, u , S q u and S q 0u, using a sequence of modulus functions and the multiplier sequence u uk of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly Δuq-Cesàro summable with respect to the modulus function f then it is ...

متن کامل

Vector-valued Sequence Spaces Generated by Infinite Matrices

Let A= (ank) be an infinite matrix with all ank ≥ 0 and P a bounded, positive real sequence. For normed spaces E and Ek the matrix A generates paranormed sequence spaces such as [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P](E) which generalize almost all the existing sequence spaces, such as l∞, c0, c, lp, wp , and several others. In this paper, conditions under which these three paranormed spaces are ...

متن کامل

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces

We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator. We show that the Orlicz-Garling sequence space admits a unique 1-subsymmetric basis and a 1-dominated block basic sequence in [Formula: see text]. We also make an effort to prove that every symmetric normalized block Orlicz-Garling sequen...

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: Colloquium Mathematicum

سال: 2021

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm8005-8-2020