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This book explores the various ideas which provide innovative, unified and comprehensive knowledge in the theory of sequence spaces. As a part of Functional Analysis, the study of sequence spaces has vast range of applications in several branches of mathematics such as structural theory of topological vector spaces, Schauder basis theory, Law of large numbers, Summability theory, Duality theory, Theory of calculus etc. The present book relates to the study of the difference sequence spaces of arbitrary order and determine the spectrum of difference operators over different basic sequences.