Characterization of certain matrix classes involving generalized difference summability spaces
نویسنده
چکیده
The main aim of this article is to generalize the notion of almost convergent, Cesàro summable and lacunary summable spaces by using a generalized difference operator defined associating a sequence of non-zero scalars and characterize some matrix classes involving these sequence spaces. In this article we also introduce the idea of difference infinite matrices. It is expected that these investigations will generalize several notions associated with thus constructed spaces as well as of matrix transformations. M.S.C. 2000: 46B20, 46E30, 40C05.
منابع مشابه
ON COMPACT OPERATORS ON SOME SPACES RELATED TO MATRIX B ( r , s )
Many sequence spaces arise from different concepts of summability. Recent results obtained by Altay, Başar and Malkowsky [2] are related to strong Cesàro summability and boundedness. They determined β−duals of the new sequence spaces and characterized some classes of matrix transformations on them. Here, we will present new results supplementing their research with the characterization of class...
متن کاملSome new double sequence spaces in 2-normed spaces defined by two valued measure
In this paper, following the methods of Connor, we introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure, double infinite matrix and an Orlicz function in 2normed spaces which have unique non-linear structure and examine some of their properties.
متن کاملEssential norm estimates of generalized weighted composition operators into weighted type spaces
Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...
متن کاملModern Functional Analysis in the Theory of Sequence Spaces and Matrix Transformations
Many concepts and theories in functional analysis have turned out to be powerful and widely used tools in operator theory, in particular in the theory of matrix transformations between sequences spaces in summability. We give an introduction to the basic theory of FK, BK, AK and AD spaces, the various types of dual spaces of sequence spaces, and apply the general results to the characterisation...
متن کاملDifference sequence spaces derived by using a generalized weighted mean
In this study, we define the spaces fs(u, v,4), f(u, v,4) and f0(u, v,4) that consist of all sequence whose G(u, v,4)− transforms are in the set of almost convergent sequence and series spaces. Some topological properties of the new almost convergent sets have been investigated as well as γand β-duals of the spaces f(u, v,4) and fs(u, v,4). Also, the characterization of certain matrix classes o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009