Note on Arens regularity of symmetric tensor products

  • O.G. Taras Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • A.V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
https://doi.org/10.15330/cmp.6.2.372-376
Keywords: symmetric regularity, multilinear maps and polynomials on Banach spaces, Arens regularity, tensor product
Published online: 2014-12-28

Abstract


We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.

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How to Cite
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Taras O., Zagorodnyuk A. Note on Arens Regularity of Symmetric Tensor Products. Carpathian Math. Publ. 2014, 6 (2), 372-376.

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