%0 Journal Article %A Semenov, E.M. %A Tradacete, P. %A Hernández, Francisco L. %T Strictly singular operators in pairs of L (p) space %D 2016 %@ 1064-5624 %U https://hdl.handle.net/20.500.14352/24675 %X Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for any subspace Q aS, E, the restriction of A to Q is not an isomorphism. A compactness criterion for any strictly singular operator from L (p) to L (q) is found. There exists a strictly singular but not superstrictly singular operator on L (p) , provided that p not equal 2. %~