In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banac…
I. Lagrange interpolation -- II. Some convergent interpolatory processes -- III. The Lebesgue function and Lebesgue function-type sums -- IV. Divergence of Lagrange interpolation -- V. Hermite-Fejer and Hermite-Fejer type interpolations -- VI. Comparison of Lagrange and Hermite-…
This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgu…
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of …
