Results 101 to 110 of about 6,527 (212)

On Generalized Orlicz Sequence Spaces Defined by Double Sequences

open access: yesFasciculi Mathematici, 2015
Abstract S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to
openaire   +1 more source

$\lambda$ PROPERTY FOR BOCHNER-ORLICZ SEQUENCE SPACES WITH ORLICZ NORM

open access: yesTaiwanese Journal of Mathematics, 2008
We give the sufficient and necessary conditions of Bochner-Orlicz sequence spaces equipped with Orlicz norm that have the $\lambda$ property and uniform $\lambda$ property, respectively. The results show that the $\lambda$ property can not be lifted from $X$ to $l_{_{M}}(X)$.
Shi, Zhongrui, Xie, Linsen
openaire   +2 more sources

Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

open access: yesAbstract and Applied Analysis, 2014
The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz function ℱ=(Fjk) and four-dimensional bounded-regular (shortly, RH-regular) matrices A=(anmjk).
S. A. Mohiuddine   +2 more
doaj   +1 more source

Generalized Difference λ-Sequence Spaces Defined by Ideal Convergence and the Musielak-Orlicz Function

open access: yesAbstract and Applied Analysis, 2013
We introduced the ideal convergence of generalized difference sequence spaces combining an infinite matrix of complex numbers with respect to λ-sequences and the Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery
doaj   +1 more source

Topologies in generalized Orlicz sequence spaces

open access: yesFilomat, 2011
In 1994 S. D. Parashar and B. Choudhary defined certain paranorms in some Orlicz sequence spaces of Maddox type. Their ideas are applied later by many authors for topologization of various generalized Orlicz sequence spaces. We determine alternative F-seminorms in such spaces by using the standard arguments of modular spaces theory and a ...
openaire   +2 more sources

Home - About - Disclaimer - Privacy