## Linear spaces with an $H^{\ast }$-algebra-valued inner product

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- by Parfeny P. Saworotnow PDF
- Trans. Amer. Math. Soc.
**262**(1980), 543-549 Request permission

Erratum: Trans. Amer. Math. Soc.

**270**(1982), 349.

## Abstract:

The paper deals with a particular class of*VH*-spaces of Loynes [

**5**] whose inner product assumes its values in a trace-algebra associated with an $H^{\ast }$-algebra. It is shown that these spaces admit a structure of a “nonassociative module", and this structure could be used to characterize such spaces. Also we characterize other related spaces.

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## Additional Information

- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**262**(1980), 543-549 - MSC: Primary 46K99; Secondary 46G10, 46H99
- DOI: https://doi.org/10.1090/S0002-9947-1980-0586734-9
- MathSciNet review: 586734