We present a counterexample that solves, with a negative answer, an open problem in the theory of complex interpolation for pairs of quasi-normed spaces. We also show tha a positive answer can be obtained, when dealing with pairs of lattices of functions.
Complex interpolation between quasi-normed spaces : a convexity result / M. Vignati. - In: INTERNATIONAL JOURNAL OF PURE & APPLIED MATHEMATICAL SCIENCES. - ISSN 0972-9828. - 2:1(2005), pp. 128-137.
Complex interpolation between quasi-normed spaces : a convexity result
M. VignatiPrimo
2005
Abstract
We present a counterexample that solves, with a negative answer, an open problem in the theory of complex interpolation for pairs of quasi-normed spaces. We also show tha a positive answer can be obtained, when dealing with pairs of lattices of functions.
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