top
We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.
Radosław Szwedek. "Measure of non-compactness of operators interpolated by the real method." Studia Mathematica 175.2 (2006): 157-174. <http://eudml.org/doc/285319>.
@article{RadosławSzwedek2006, abstract = {We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.}, author = {Radosław Szwedek}, journal = {Studia Mathematica}, keywords = {measure of noncompactness; interpolation; linear operators}, language = {eng}, number = {2}, pages = {157-174}, title = {Measure of non-compactness of operators interpolated by the real method}, url = {http://eudml.org/doc/285319}, volume = {175}, year = {2006}, }
TY - JOUR AU - Radosław Szwedek TI - Measure of non-compactness of operators interpolated by the real method JO - Studia Mathematica PY - 2006 VL - 175 IS - 2 SP - 157 EP - 174 AB - We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented. LA - eng KW - measure of noncompactness; interpolation; linear operators UR - http://eudml.org/doc/285319 ER -