On the Arens regularity of Fréchet algebras and their biduals

نویسندگان

چکیده

In this paper, we study the concept of weakly almost periodic functions on Fréchet algebras. For a algebra [Formula: see text], show that text]. We also text] is Arens regular if and only both are regular. Finally, for sequence algebras prove regualr each

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

Arens Regularity and Weak Amenability of Certain Matrix Algebras

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

متن کامل

Arens regularity of triangular Banach algebras related to homomorphisms

In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...

متن کامل

the impact of attending efl classes on the level of depression of iranian female learners and their attributional complexity

می توان گفت واقعیت چند لایه ا ی کلاس های زبان انگلیسی بسیار حائز اهمیت است، زیرا عواطف و بینش های زبان آموزان تحت تاثیر قرار می گیرد. در پژوهش پیش رو، گفته می شود که دبیران با در پیش گرفتن رویکرد فرا-انسانگرایی ، قادرند در زندگی دانش آموزانشان نقش مهمی را ایفا سازند. بر اساس گفته ی ویلیامز و بردن (2000)، برای کرل راجرز، یکی از بنیان گذاران رویکرد انسانگرایی ، یادگیری بر مبنای تجربه، نوعی از یاد...

Non Commutative Arens Algebras and Their Derivations

Given a von Neumann algebra M with a faithful normal semi-finite trace τ, we consider the non commutative Arens algebra Lω(M, τ) = ⋂ p≥1 Lp(M, τ) and the related algebras L2 (M, τ) = ⋂ p≥2 Lp(M, τ) and M + L2 (M, τ) which are proved to be complete metrizable locally convex *-algebras. The main purpose of the present paper is to prove that any derivation of the algebra M + L2 (M, τ) is inner and...

متن کامل

Arens-regularity of algebras arising from tensor norms

We investigate the Arens products on the biduals of certain algebras of operators on nonreflexive Banach spaces. To be precise, we study the α-nuclear operators, where α is a tensor norm. This includes the approximable and nuclear operators, and we use these, together with the 2-nuclear operators, as motivating examples. The structure of the two topological centres of the bidual are studied, 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: Asian-european Journal of Mathematics

سال: 2022

ISSN: ['1793-7183', '1793-5571']

DOI: https://doi.org/10.1142/s1793557123500626