16993

16993

اندازه نافشردگي و برخي كاربردهاي آن در فضاهاي دنباله اي

كارشناسي ارشد

رياضي محض آناليز

دي 1395

دكتر محمدباقر قائمي

دكتر رضا سعادتي

رياضي

1396/01/16

1/1/1900 12:00:00 AM

abstract The sequence spaces l1(~B ; p) , C(~B ; p) , C0(~B ; p) of non-absolute type derived by the double sequential band matrix B(~r; ~s) have recently been defined. In this study we discussed identities o​r estimates for the operator norms an​d the Hausdorff measure of noncompactnees of certain matrix on these spaces that are paranormed space. further, we study the necessary an​d sufficient condition for compactness of LA where LA is a bounded linear operator in the class (X, l1(q)) (where X is any of the spaces l1(~B ; p) , C(~B ; p) , C0(~B ; p) ) an​d characterize some classes of compact operators on the space by using the Hausdorff measure of the noncompactness technique. Also as applications we characterize some classes of compact operators between these new sequence spaces an​d some other BK- space by using previous results an​d the Hausdorff measure of noncompactness.