Cells and cellularity in infinite-dimensional normed linear spaces

نویسندگان

چکیده

برای دانلود رایگان 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

Remotality and proximinality in normed linear spaces

In this paper, we consider the concepts farthest points and nearest points in normed linear spaces, We obtain a necessary and coecient conditions for proximinal, Chebyshev, remotal and uniquely remotal subsets in normed linear spaces. Also, we consider -remotality, -proximinality, coproximinality and co-remotality.

متن کامل

Finite dimensional intuitionistic fuzzy normed linear spaces

In this paper, the definition of intuitionistic fuzzy normed linear space which is introduced in an earlier paper by R. Saadati et al. [15] is redefined and based on this revised definition we have studied completeness and connectedness of finite dimensional intuitionistic fuzzy normed linear spaces.

متن کامل

Finite dimensional fuzzy normed linear spaces

In this paper we consider general t-norm in the definition of fuzzy normed linear space which is introduced by the authors in an earlier paper. It is proved that if t-norm is chosen other than ”min” then decomposition theorem of a fuzzy norm into a family of crisp norms may not hold. We study some basic results on finite dimensional fuzzy normed linear spaces in general t-norm setting. 2010 AMS...

متن کامل

On Infinite Dimensional Linear Spaces.

Let X be an abstract linear space and let X* be the space of all linear functionals defined on X. Associated with each norm defined on X is its "norm set," the subspace L of X* consisting of those linear functionals which are continuous with respect to it. Our starting point is the observation that two norms in X define the same topology if and only if their norm sets are identical. This observ...

متن کامل

Embedding normed linear spaces into $C(X)$

‎It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$‎. ‎Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology‎, ‎which is compact by the Banach--Alaoglu theorem‎. ‎We prove that the compact Hausdorff space $X$ can ...

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: Transactions of the American Mathematical Society

سال: 1973

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1973-0383419-5