Weak fuzzy topology on vector spaces

نویسندگان

چکیده

In this paper, we study the concept of weak linear fuzzy topology on a topological vector space as generalization usual topology. We prove that consists all weakly lower semi-continuous sets given when K (R or C) endowed with its case is different from topology, show not equivalent sets.

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

On weak fuzzy normed spaces

In this paper we study some aspects of the topological structure of the weak fuzzy normed spaces and its relation with the topological vector spaces. We give characterizations of those topological vector spaces that are metrizable, locally bounded and normable in terms of weak fuzzy norms. Mathematics Subject Classification (2010): 54A40, 46S40, 54E35, 46A03, 46A16.

متن کامل

Mixing operators on spaces with weak topology

We prove that a continuous linear operator T on a topological vector space X with weak topology is mixing if and only if the dual operator T ′ has no finite dimensional invariant subspaces. This result implies the characterization of hypercyclic operators on the space ω due to Herzog and Lemmert and implies the result of Bayart and Matheron, who proved that for any hypercyclic operator T on ω, ...

متن کامل

ON THE FUZZY DIMENSIONS OF FUZZY VECTOR SPACES

In this paper, rstly, it is proved that, for a fuzzy vector space, the set of its fuzzy bases de ned by Shi and Huang, is equivalent to the family of its bases de ned by P. Lubczonok. Secondly, for two fuzzy vector spaces, it is proved that they are isomorphic if and only if they have the same fuzzy dimension, and if their fuzzy dimensions are equal, then their dimensions are the same, however,...

متن کامل

$psi -$weak Contractions in Fuzzy Metric Spaces

In this paper, the notion of $psi -$weak contraction cite{Rhoades} isextended to fuzzy metric spaces. The existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. Our resultgeneralizes a result of Gregori and Sapena cite{Gregori}.

متن کامل

Intuitionistic fuzzy topology on function spaces

The purpose of this paper is to give a topology on a given function space in the category of intuitionistic fuzzy topological spaces and investigate series of its properties. 2010 AMS Classification: 54C35, 54A40

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: Filomat

سال: 2021

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2102501d