Interpolation of a measure of weak non-compactness
Copyright policy )Interpolation of a measure of weak non-compactness
The author proves the interpolation formula for the measure of non-compactness \(\gamma,\) \[ \gamma(T:\bar{A}_E\mapsto\bar{B}_E)\leq C \psi_E(\gamma(T:A_0\mapsto B_0),\gamma(T:A_1\mapsto B_1)), \] where the operator \(T:A_j\mapsto B_j\) is bounded in the Banach spaces \(A_j, B_j\), \((j=0,1)\), \(\bar{A}_E\) is the interpolation space of Lions and Peetre, generated by a lattice \(E\) with the fundamental function \(\psi_E(s,t).\)
real interpolation, Abstract interpolation of topological vector spaces, Interpolation between normed linear spaces, measure of weak non-compactness, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
real interpolation, Abstract interpolation of topological vector spaces, Interpolation between normed linear spaces, measure of weak non-compactness, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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