Abstract
An example of the determinant of an algebra without the approximation property is discussed in this chapter. It is shown that, in this case, the determinant is not uniquely defined; i.e., there are many extensions of the determinant on the algebra of operators of finite rank.
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© 2000 Springer Basel AG
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Gohberg, I., Goldberg, S., Krupnik, N. (2000). Algebras without the Approximation Property. In: Traces and Determinants of Linear Operators. Operator Theory Advances and Applications, vol 116. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8401-3_15
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DOI: https://doi.org/10.1007/978-3-0348-8401-3_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9551-4
Online ISBN: 978-3-0348-8401-3
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