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Let M, N be Orlicz functions, and let D(\ellM , \ellN ) be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces \ellM and \ellN. We prove that the space ...
Some Geometric Properties in Orlicz Sequence Spaces equipped with Orlicz Norm
Orlicz sequence space rotundity local uniform rotundity compact local uniform rotundity property H smoothness copy of $l_\infty$
2009/1/20
It is proved that for any reflexive Banach space $X$, both $X$ and $X^{*}$ are CLUR if and only if both $X$ and $X^{*}$ have property H. Criteria for rotundity, local uniform rotundity, compact l...
Norms of Certain Operators on Weighted $\ell_p$Spaces and Lorentz Sequence Spaces
Hardy's inequality Hilbert's inequality Norms of operators
2008/6/27
Norms of Certain Operators on Weighted $\ell_p$Spaces and Lorentz Sequence Spaces.
On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions
Orlicz function lacunary sequence strong convergence difference sequence space
2007/12/11
In this article we introduce the generalized lacunarydifference sequence spaces $[N_\theta, M, \Delta^m]_0$, $[N_\theta, M, \Delta^m]_1$ and $[N_\theta, M, \Delta^m]_\infty$using $m^{th}-$ difference....
On Certain Type of Modular Sequence Spaces
Orlicz functions Modular sequence spaces Kö the dual
2010/2/25
In this paper we consider a particular type of modular sequence spaces defined with the help of a given sequence a = {an} of strictly positive real numbers an's and an Orlicz function M. Indeed, if we...
New Tensor Norms and Operator Ideals Associated to Interpolation Spaces Between Sequence Spaces
Tensor norms operator ideals lr-nuclear and lr-integral operators
2010/3/1
We introduce a wide class of tensor norms gl,r which are defined with the help of interpolation spaces between perfect sequence spaces defined by a general parameter real interpolation method. We also...
Some new Sequence Spaces Defined by a Sequence of Moduli
Sequence Spaces Sequence of Moduli
2010/3/5
In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.