Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:msub></mml:math>, where <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:math> is an Orlicz function such that the class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math> of all bounded linear operators between arbitrary Banach spaces with its sequence of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi>s</mml:mi><mml:mo>-</mml:mo></mml:math>numbers which belong to …