Measures of noncompactness in some new lacunary difference sequence\n spaces

2015/06/17 by Ekrem Savaș, Savas, Ekrem, Stuti Borgohain +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1506.05450

openalex publication_date 2015/06/17 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

In this research article, we establish some identities and estimates for the\noperator norms and the Hausdorff measures of noncompactness of certain\noperators on some lacunary difference sequence spaces defined by Orlicz\nfunction. Moreover, we apply our results to characterize some classes of\ncompact operators on those spaces by using the Hausdorff measure of\nnoncompactness.\n

Related

• Measures of Noncompactness in N(p,q) Summable Sequence Spaces
• Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers
• "Some mth-order Difference Sequence Spaces of Generalized Means and Compact Operators"
• Some Paranormed Difference Sequence Spaces of Order m Derived by Generalized Means and Compact Operators
• Compact operators under Orlicz functions