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Öğe Some compactness properties of L-weakly and M-weakly compact operators(Springer, 2012) Bayram, Erdal; Tonyali, C.We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattice under additional conditions. Thus, we can say that every bounded operator which commutes with any L-weakly or M-weakly compact operator have a non-trivial closed invariant subspace.