Standard

A lemma on the approximation of finite-dimensional*-algebras. / Lodkin, A. A.

в: Journal of Soviet Mathematics, Том 9, № 2, 01.02.1978, стр. 280-283.

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Harvard

Lodkin, AA 1978, 'A lemma on the approximation of finite-dimensional*-algebras', Journal of Soviet Mathematics, Том. 9, № 2, стр. 280-283. https://doi.org/10.1007/BF01578554

APA

Lodkin, A. A. (1978). A lemma on the approximation of finite-dimensional*-algebras. Journal of Soviet Mathematics, 9(2), 280-283. https://doi.org/10.1007/BF01578554

Vancouver

Lodkin AA. A lemma on the approximation of finite-dimensional*-algebras. Journal of Soviet Mathematics. 1978 Февр. 1;9(2):280-283. https://doi.org/10.1007/BF01578554

Author

Lodkin, A. A. / A lemma on the approximation of finite-dimensional*-algebras. в: Journal of Soviet Mathematics. 1978 ; Том 9, № 2. стр. 280-283.

BibTeX

@article{40c8c1cff57d4a50a50377580f09c9c8,
title = "A lemma on the approximation of finite-dimensional*-algebras",
abstract = "One proves an analog of Glimm's lemma [Trans. Am. Math. Soc., 95, No. 2, 318-340 (1960)] by replacing the uniform norm by the trace norm ∥A∥=tr(AA*)1/2; if the elements of a finite type factor satisfy (up to δ) the relations which have to be satisfied by the matrix units of a finite-dimensional*-algebra A, then in their ε -neighborhoods there exist operators which satisfy exactly these relations and δ depends only on the algebraic type of A and of ε.",
author = "Lodkin, {A. A.}",
year = "1978",
month = feb,
day = "1",
doi = "10.1007/BF01578554",
language = "English",
volume = "9",
pages = "280--283",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - A lemma on the approximation of finite-dimensional*-algebras

AU - Lodkin, A. A.

PY - 1978/2/1

Y1 - 1978/2/1

N2 - One proves an analog of Glimm's lemma [Trans. Am. Math. Soc., 95, No. 2, 318-340 (1960)] by replacing the uniform norm by the trace norm ∥A∥=tr(AA*)1/2; if the elements of a finite type factor satisfy (up to δ) the relations which have to be satisfied by the matrix units of a finite-dimensional*-algebra A, then in their ε -neighborhoods there exist operators which satisfy exactly these relations and δ depends only on the algebraic type of A and of ε.

AB - One proves an analog of Glimm's lemma [Trans. Am. Math. Soc., 95, No. 2, 318-340 (1960)] by replacing the uniform norm by the trace norm ∥A∥=tr(AA*)1/2; if the elements of a finite type factor satisfy (up to δ) the relations which have to be satisfied by the matrix units of a finite-dimensional*-algebra A, then in their ε -neighborhoods there exist operators which satisfy exactly these relations and δ depends only on the algebraic type of A and of ε.

UR - http://www.scopus.com/inward/record.url?scp=34250279056&partnerID=8YFLogxK

U2 - 10.1007/BF01578554

DO - 10.1007/BF01578554

M3 - Article

AN - SCOPUS:34250279056

VL - 9

SP - 280

EP - 283

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 40668662