Operators on some vector-valued Orlicz sequence spaces

This work consists of ve chapters. In the introduction, the Orlicz sequencespaces are summarized in the development process.In the second chapter, the basic de nitions, concepts, theorems and exampleswhich will be useful in the next chapters have been given.In the third chapter, s(X) which is the most common vector-valued sequencespace is introduced, and some the de nitions and propositions have been given.Further, K othe-Toeplitz duals, normality, monotony, perfectness of the vector-valuedsequence spaces have been introduced and related to these propositions, theorems,and the results have been given.In the fourth chapter, the scalar-valued and vector-valued Orlicz sequencespaces Orlicz sequence spaces have been given and some properties of these spaceshave been examined.In the last chapter, some results on vector-valued Orlicz sequence spaces havebeen given and a theorem which has the same function with a basis have beenproved. In addition, a signi cant theorem which characterizes operators de ned onthese spaces have been proved and the results of this theorem have been examinedwith examples.KEY WORDS: Vector-valued sequence spaces, Orlicz sequence spaces, Orliczfunction, Characterization of The Operators, Representations of The Operators.