Malkowsky, Eberhard2024-07-122024-07-122009Malkowsky, E. (2009). Compact and fredholm operators on some matrix domains of triangles. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 30-31.9.78605E+12https://hdl.handle.net/20.500.12415/2509We present some general results for the determination of the ?-duals of triangles in FK spaces and the characterisation of some classes of matrix transformations on them. Furthermore, we give a short introduction to the Hausdorff measure of noncompactness which we apply to establish necessary and sufficient conditions for compact linear operators between the matrix domains of triangles in the sets of convergent and null sequences. Finally, we give a sufficient condition for a bounded linear operator from the matrix domain of a triangle in the space of null sequences into itself to be a Fredholm operator.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object3130