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Unitary Similarity Preserving Linear Maps on B(H)

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Abstract

We determine all bijective unitary similarity preserving linear maps on B(H), the algebra of all bounded linear operators on a separable infinite-dimensional Hilbert space H.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mahdi Karder

  2. University of Maribor, FERI, Smetanova 17, 2000, Maribor, Slovenia

    Tatjana Petek

  3. Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000, Ljubljana, Slovenia

    Tatjana Petek

  4. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Ali Taghavi

Authors
  1. Mahdi Karder
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  2. Tatjana Petek
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  3. Ali Taghavi
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Corresponding author

Correspondence to Tatjana Petek.

Additional information

This research was partially supported by a grant of ARRS.

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Karder, M., Petek, T. & Taghavi, A. Unitary Similarity Preserving Linear Maps on B(H). Integr. Equ. Oper. Theory 82, 51–60 (2015). https://doi.org/10.1007/s00020-014-2189-y

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  • DOI: https://doi.org/10.1007/s00020-014-2189-y

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