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<p>We introduce an <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-operator algebraic analogue of Hilbert C*-modules. We present the theory of concrete <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-correspondences and the interior tensor product of these.</p>

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\(L^p\)-modules and \(L^p\)-correspondences

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月20日

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  • Alonso Delfín

摘要

We introduce an \(L^p\) L p -operator algebraic analogue of Hilbert C*-modules. We present the theory of concrete \(L^p\) L p -modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define \(L^p\) L p -correspondences and the interior tensor product of these.