CERTAIN GEOMETRIC SEQUENCE SPACES

This book explores the various ideas which provide innovative, unified and comprehensive knowledge in the theory of sequence spaces. The study of sequence spaces occupies a very prominent position in Functional analysis, which has a ~vast range of applications in different branches of mathematics such as the structural theory of topological vector spaces, Schauder basis theory, ergodic theory, law of large numbers, summability theory and the theory of functions. Geometric calculus is one type of non-Newtonian calculus based on geometric arithmetic generated by the function\ textit{exp} and it can be used as a tool for problems of exponential in nature.The main objective of the present book is to introduce the geometric sequence spaces based on different operator in geometric arithmetic.