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K-theory for algebras of operators on Banach spaces

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K-theory for algebras of operators on Banach spaces. / Laustsen, Niels Jakob.

In: Journal of the London Mathematical Society, Vol. 59, No. 2, 30.04.1999, p. 715-728.

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Laustsen, NJ 1999, 'K-theory for algebras of operators on Banach spaces', Journal of the London Mathematical Society, vol. 59, no. 2, pp. 715-728. https://doi.org/10.1112/S0024610799007206

APA

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Laustsen NJ. K-theory for algebras of operators on Banach spaces. Journal of the London Mathematical Society. 1999 Apr 30;59(2):715-728. https://doi.org/10.1112/S0024610799007206

Author

Laustsen, Niels Jakob. / K-theory for algebras of operators on Banach spaces. In: Journal of the London Mathematical Society. 1999 ; Vol. 59, No. 2. pp. 715-728.

Bibtex

@article{c45f80d82053446caf5a903f732b50fb,
title = "K-theory for algebras of operators on Banach spaces",
abstract = "It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space x for which K0(ℬ(x)) ≅ ℤm and K1(ℬ(x)) ≅ ℤn. The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.",
author = "Laustsen, {Niels Jakob}",
year = "1999",
month = apr,
day = "30",
doi = "10.1112/S0024610799007206",
language = "English",
volume = "59",
pages = "715--728",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - K-theory for algebras of operators on Banach spaces

AU - Laustsen, Niels Jakob

PY - 1999/4/30

Y1 - 1999/4/30

N2 - It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space x for which K0(ℬ(x)) ≅ ℤm and K1(ℬ(x)) ≅ ℤn. The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.

AB - It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space x for which K0(ℬ(x)) ≅ ℤm and K1(ℬ(x)) ≅ ℤn. The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.

U2 - 10.1112/S0024610799007206

DO - 10.1112/S0024610799007206

M3 - Journal article

AN - SCOPUS:0000156851

VL - 59

SP - 715

EP - 728

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 2

ER -