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A note on generalised commutativity theorems in the Schatten norm

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1511)

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References

  1. K. Abdessemed and E.B. Davies, Some commutator estimates in the Schatten classes, J.Lond.Math.Soc. 39(1989), 297–308.

    MathSciNet  MATH  Google Scholar 

  2. K.Mattila, Normal operators and proper boundary points of the spectra of operators on a Banach space, Ann.Acad.Sci.Fen. Ser.AI,Math.Dissertationes 19(1978).

    Google Scholar 

  3. K. Mattila, Complex strict and uniform convexity and hyponormal operators, Math. Proc.Camb.Phil.Soc. 96(1984), 483–493.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. R.L. Moore and G. Weiss, The metric Fuglede property and normality, Canad.J.Math. 35(1983), 516–512.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. V.S. Shul’man, On linear equation with normal coefficients, Sovt. Math. Dokl.27 (1983), 726–729.

    MathSciNet  MATH  Google Scholar 

  6. G. Weiss, The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators I, Trans.Amer.Math.Soc. 246(1978), 193–209; II, J.Operator Theory 5(1981), 3–16.

    MathSciNet  MATH  Google Scholar 

  7. G. Weiss, The Fuglede commutativity theorem mudulo operator ideals, Proc.Amer.Math.Soc. 83(1981), 133–118.

    CrossRef  Google Scholar 

  8. G. Weiss, An extension of the Fuglede commutativity theorem modulo the Hilbert-Schmit class to operators of the form Σ MXN, Trans.Amer.Math.Soc. 278(1983), 1–20.

    MathSciNet  Google Scholar 

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Dedicated to the memory of U.N. Singh

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© 1992 Springer-Verlag

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Duggal, B.P. (1992). A note on generalised commutativity theorems in the Schatten norm. In: Yadav, B.S., Singh, D. (eds) Functional Analysis and Operator Theory. Lecture Notes in Mathematics, vol 1511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093796

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  • DOI: https://doi.org/10.1007/BFb0093796

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55365-6

  • Online ISBN: 978-3-540-47041-0

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