Abstract
A strict maximum modulus theorem is proved for certain Banach spaces. As an application it is shown that ifAX=XA * withA hyponormal andX a member of any Schattenp-class withp≥1, thenA * X=XA.
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Both authors were partially supported by grants from the Research Grants Committee of the University of Alabama.
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Moore, R.L., Trent, T.T. A strict maximum modulus theorem for certain Banach spaces. Monatshefte für Mathematik 92, 197–201 (1981). https://doi.org/10.1007/BF01442484
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DOI: https://doi.org/10.1007/BF01442484