[PDF] Top 20 On n normed spaces

... standard n-normed space is convergent in the n- norm if and only if it is convergent in the standard (n − 1)-norm and, by induction, in the standard (n − r )-norm for all r = 1, ..., ... See full document

... Archimedean n-normed spaces over linear ordered non-Archimedean ...non-Archimedean n-normed spaces is f - invariant under different conditions from those referred in previous ... See full document

... -normed spaces was first introduced by Gähler [] in the mid-s, while that of n-normed spaces one can find in Misiak ...Let n ∈ N and X be a linear space over the field ... See full document

... 2-normed spaces [1] and extended it to the concept of n-normed spaces [2,3,4] ...with n-metric spaces also gave some important results [5,10,11] ...in ... See full document

... -normed spaces was initially developed by Gähler [] in the mid-s, while that of n-normed spaces one can see in Misiak ...Let n ∈ N and X be a linear space over the ... See full document

... On n-inner product, n-norms, and the Cauchy-Schwarz ...to n-norm. Int. J. Appl. Math. Stat. 15, 89-97 (2009) 21. Dutta, H: On n-normed linear space valued null, convergent and bounded ... See full document

... sequences spaces defined over a real linear n-normed space and investigate the spaces for completeness under suitable n-norm in each ...of n-BK-spaces and show that the ... See full document

... topological spaces [–], in the theory of functions [, ], in the approximation theory ...and n-normed linear spaces were initially intro- duced by Gähler [, ] and further studied by Kim ... See full document

... on normed spaces. Chu et al., Park et al.[2-4] in linear n-normed spaces, defined the concept of an n-isometry that are suitable to represent the notion of a volumepreserving ... See full document

... bounded n-linear functionals in n-normed spaces in ...of n-linear operators in [14]. Notions of different formulae of n-norms can be seen in [6, 12, ... See full document

... of n-isometry which is suitable for representing the no- tion of n-distance preserving mappings in linear n-normed spaces and studied the Aleksandrov problem in linear ... See full document

... 2-fuzzy n-normed linear spaces. The authors gave the notion of α -n-norm on a linear space corresponding to the 2-fuzzy n-norme by using some ideas of Bag and Samanta ...linear ... See full document

... operator spaces and Banach lattices. Motivations for the study of multi-normed spaces and many examples are given in ...ti-Banach spaces are studied by Dales and Moslehian [18], Moslehian et ... See full document

... If the problem accepts a solution, we say that the equation is stable. The first sta- bility problem concerning group homomorphisms was raised by Ulam [35] in 1940. In the next year, Hyres [11] gave a positive answer to ... See full document

... fuzzy normed spaces to fuzzy β -normed spaces and adopt the fixed point and direct methods to prove the Hyers-Ulam-Rassias stability of the quartic functional equation f (2x + y + z) + f(2x + y ... See full document

... Remark . In [] and [], the condition a b ≤ ab for all a, b ∈ [, ] is used. But this condition cannot hold in intuitionistic fuzzy normed spaces. In fact, if this condition holds, by using (iii) and ... See full document

... The concept 2 normed space was introduced by S. Gahler. After Daminni and A.White introduced the ideas of strictly 2 convex 2 –normed space. They gave several important result on strictly convex 2-nornmed ... See full document

... Abstract — In the present paper notions of multi linear space and multi normed linear space are presented and some basic properties of such spaces have been in[r] ... See full document

... Next, we study the situation when U and V are duals of normed spaces, equipped with weak star topologies. Again surjectivity and boundedness are connected and this time to a weaker thickness property. ... See full document

... R n was systematically studied by Newton Minkowski, Helly, Radon and Others ...convexity spaces in which a convexity 𝐶on a set X is a family of subsets of X which contains the null set and X, and which is ... See full document