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- W1555240586 abstract "We show that if the norm of an idempotent Schur multiplier on the Schatten class <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S Superscript p> <mml:semantics> <mml:msup> <mml:mi>S</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>S^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> lies sufficiently close to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, then it is necessarily equal to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We also give a simple characterization of those idempotent Schur multipliers on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S Superscript p> <mml:semantics> <mml:msup> <mml:mi>S</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>S^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> whose norm is <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W1555240586 date "2004-02-06" @default.
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- W1555240586 title "On the norm of an idempotent Schur multiplier on the Schatten class" @default.
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- W1555240586 doi "https://doi.org/10.1090/s0002-9939-04-07340-x" @default.
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