Sequence Space Theory with Applications

The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and nonexpert on aforesaid topics. The book consists of original thirteen research chapters contributed by the well-recognized researchers in the field of sequence spaces with associated applications. FeaturesDiscusses the Fibonacci and vector valued difference sequence spacesPresents the solution of Volterra integral equation in Banach algebraDiscusses some sequence spaces involving invariant mean and related to the domain of Jordan totient matrixPresents the Tauberian theorems of double sequencesDiscusses the paranormed Riesz difference sequence space of fractional orderIncludes a technique for studying the existence of solutions of infinite system of functional integro-differential equations in Banach sequence spacesThe subject of book is an active area of research of present time internationally and would serve as a good source for researcher and educators involved with the topic of sequence spaces.