A Revisit to n-Normed Spaces Through Its Quotient Spaces
نویسندگان
چکیده
منابع مشابه
ON n-NORMED SPACES
Given ann-normed space withn≥ 2, we offer a simple way to derive an (n−1)norm from the n-norm and realize that any n-normed space is an (n−1)-normed space. We also show that, in certain cases, the (n−1)-norm can be derived from the n-norm in such a way that the convergence and completeness in the n-norm is equivalent to those in the derived (n− 1)-norm. Using this fact, we prove a fixed point t...
متن کاملDOUBLE SEQUENCE SPACES OVER n-NORMED SPACES
In this paper, we define some classes of double sequences over n-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
متن کاملOn Some I-Convergent Sequence Spaces Over N-Normed Spaces
The concept of 2-normed spaces was initially developed by Gähler[5] in the mid of 1960’s, while that of n-normed spaces one can see in Misiak[15]. Since then, many others have studied this concept and obtained various results, see Gunawan ([7,8]) and Gunawan and Mashadi [9] and references therein. Let n ∈ N and X be a linear space over the field K, where K is field of real or complex numbers of...
متن کاملNormed Gyrolinear Spaces: A Generalization of Normed Spaces Based on Gyrocommutative Gyrogroups
In this paper, we consider a generalization of the real normed spaces and give some examples.
متن کاملISOMETRY ON LINEAR n-NORMED SPACES
This paper generalizes the Aleksandrov problem, the Mazur–Ulam theorem and Benz theorem on n-normed spaces. It proves that a one-distance preserving mapping is an nisometry if and only if it has the zero-distance preserving property, and two kinds of n-isometries on n-normed spaces are equivalent.
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: Matematychni Studii
سال: 2020
ISSN: 2411-0620,1027-4634
DOI: 10.30970/ms.53.2.181-191