Nörlund Orlicz sequence space and their Köthe-Toeplitz duals over n-normed space

Key Points

• The study aims to introduce the Nörlund-Orlicz sequence space over n-normed spaces and examine its properties.
• Defined Nörlund-Orlicz sequence space over n-normed spaces under specific conditions.
• Investigated algebraic and topological properties of the new sequence space.
• Studied the Köthe-Toeplitz duals related to the Nörlund-Orlicz sequence space.
• Established conditions under which Nörlund-Orlicz spaces become n-BK spaces.
• Identified significant algebraic and topological properties of these sequence spaces.
• Analyzed the Köthe-Toeplitz dual structures, enhancing understanding of the n-normed framework.