On interpolation of bilinear operators by the real method
type: Item
instance of: scholarly article
title: On interpolation of bilinear operators by the real method
zbMATH Open document ID: 0798.46054
DOI: 10.1007/BF01247642
published in: Mathematical Notes
publication date: 1993-04-01T00:00:00Z
review text: The author studies interpolation properties of bilinear operators on Banach spaces. He obtains interesting results. One of the questions he studies is the following. Let \(F\) be an interpolation functor. It is said to interpolate bilinear operators if for arbitrary Banach pairs \(\vec X= (X_ 0,X_ 1)\), \(\vec Y= (Y_ 0,Y_ 1)\), \(\vec Z=(Z_ 0,Z_ 1)\) and for an arbitrary bilinear operator \(B: X_ i\times Y_ i\to Z_ i\) \((i=1,2)\) it follows that \(B: F(\vec X)\times F(\vec Y)\to F(\vec Z)\). Several important results are obtained for real interpolation functors.
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 46B70
zbMATH DE Number: 148608
zbMATH Keywords: interpolation properties of bilinear operators on Banach spaces
zbMATH Keywords: real interpolation functors
author: Sergey Astashkin
reviewed by: Vladimir V. Peller
MaRDI profile type: Publication
cites work: Q5332414
cites work: Q4347091
cites work: On a class of interpolation spaces
cites work: Q3977301
cites work: Q4097705
cites work: Q3961369
cites work: Embeddings of Lorentz-Marcinkiewicz spaces with mixed norms
cites work: Q3955932
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description: scientific article; zbMATH DE number 148608