The Cesáro Lacunary Ideal bounded linear operator of c ²- of Φ-statistical vector valued defined by a bounded linear operator of interval numbers

摘要

Let 僾 uv 僿mn A be a sequence of bounded linear operators from a separable Banach metric space of 僾 X , 0僿 into a Banachmetric space 僾Y, 0僿. Suppose that 冎 劇兌 is a countable fundamental set of X and the ideal I 儃 of subsets 刅別 刅 has property(AP). The sequence 僾 uv 僿mn A is said to be b*I 儃 convergent if it is pointwise I 儃 convergent and there exists an index set Ksuch that 刅 別 刅 / K 劇 I and 僾 僿 ,uvmn m n KA x劇is bounded for any x 劇 X , the concept of lacunary vector valued of 冇僴2 andthe concept of 11 兇 儃 lacunary statistical convergent vector valued of 冇僴2 of difference sequences have been introduced. Inaddition, we introduce interval numbers of asymptotically ideal equivalent sequences of vector valued difference byMusielak fuzzy real numbers and established some relations related to this concept.Finally we introduce the notion of interval numbers of Cesaro Orlicz asymptotically equivalent sequences vectorvalued difference of Musielak Orlicz function and establish their relationship with other classes.