Add to ORKGWe define the statistically strongly regular matrices analogous to the strongly reg-ular matrices, and further we use these matrices to establish necessary and suffi-cient conditions to prove some core theorems. 2000 Mathematics Subject Classification: 40F05, 40J05, 40G99. 1. Banach core. Let ∞ and c be the Banach spaces of bounded and conver-gent sequences x = (xk)∞1 (real or complex). Note that the functional q(x) = limsup p su
In 1981, Rath and Tripathy presented some classes of regular matrices such that every bounded seque...
AbstractA bounded linear operator A on a Banach space is called relatively regular, if there is a bo...
Abstract. Sufficient conditions are given on a Banach space X which ensure that ` ∞ em-beds in L (X)...
summary:In this paper, we are mainly concerned with characterizing matrices that map every bounded s...
We define the statistically strongly regular matrices analogous to the strongly regular matrices, an...
AbstractGiven densities μ and v, we characterize nonnegative matrices T such that the μ-statistical ...
Banach has proved that there exist positive linear regular functionals on m such that they are invar...
This thesis has three chapters related to Banach cores and statistical convergence. In the first cha...
AbstractLet A and D be two nonnegative regular matrices, and B be an arbitrary infinite matrix. We g...
ABSTRACT. Inequalities between certain functlonals on the space of bounded real sequences are consid...
AbstractLet B be a Banach space. A B-valued sequence 〈 xk〉 is weakly statistically null provided lim...
AbstractThe concept of the regular (or Riesz) norm on ordered real Banach spaces is generalized to m...
AbstractIn this paper we characterize matrices that map every bounded sequence into one whose σ-core...
AbstractThe main objective of the paper is to characterize multipliers of summability fields of regu...
Abstract. We give the matrix characterizations from Nakano vector-valued sequence space (X,p) and Fr...
In 1981, Rath and Tripathy presented some classes of regular matrices such that every bounded seque...
AbstractA bounded linear operator A on a Banach space is called relatively regular, if there is a bo...
Abstract. Sufficient conditions are given on a Banach space X which ensure that ` ∞ em-beds in L (X)...
summary:In this paper, we are mainly concerned with characterizing matrices that map every bounded s...
We define the statistically strongly regular matrices analogous to the strongly regular matrices, an...
AbstractGiven densities μ and v, we characterize nonnegative matrices T such that the μ-statistical ...
Banach has proved that there exist positive linear regular functionals on m such that they are invar...
This thesis has three chapters related to Banach cores and statistical convergence. In the first cha...
AbstractLet A and D be two nonnegative regular matrices, and B be an arbitrary infinite matrix. We g...
ABSTRACT. Inequalities between certain functlonals on the space of bounded real sequences are consid...
AbstractLet B be a Banach space. A B-valued sequence 〈 xk〉 is weakly statistically null provided lim...
AbstractThe concept of the regular (or Riesz) norm on ordered real Banach spaces is generalized to m...
AbstractIn this paper we characterize matrices that map every bounded sequence into one whose σ-core...
AbstractThe main objective of the paper is to characterize multipliers of summability fields of regu...
Abstract. We give the matrix characterizations from Nakano vector-valued sequence space (X,p) and Fr...
In 1981, Rath and Tripathy presented some classes of regular matrices such that every bounded seque...
AbstractA bounded linear operator A on a Banach space is called relatively regular, if there is a bo...
Abstract. Sufficient conditions are given on a Banach space X which ensure that ` ∞ em-beds in L (X)...