Double sequence spaces characterized by lacunary sequences

✍ Scribed by Ekrem Savaş; Richard F. Patterson

• Book ID: 104000302
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 183 KB
• Volume: 20
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2006.09.008

✦ Synopsis

In 1989, Das and Patel considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel's results.