ISBN 3-540-64239-0. Bourbaki, Nicolas (2006) [1983]. "Chapitres 8 et 9". Algèbre commutative. Éléments de mathématique. Springer. ISBN 978-3-540-33942-7...
17 KB (2,020 words) - 15:41, 6 May 2024
aa^{*}} and a ∗ a {\displaystyle a^{*}a} are self-adjoint, since * is an involutive antiautomorphism. For each element a {\displaystyle a} of a *-algebra...
7 KB (1,174 words) - 15:47, 24 July 2024
Hilbert. The earliest known use of the notation in a textbook occurs in Algèbre written by the collective Nicolas Bourbaki, dating to 1947. The notation...
35 KB (3,941 words) - 03:46, 16 August 2024
Edition. Springer. ISBN 978-3-319-05791-0. Dixmier, Jacques (1969). Les C*-algèbres et leurs représentations (in French). Gauthier-Villars. Dixmier, Jacques...
24 KB (4,323 words) - 11:08, 10 March 2024
A closed under involution. Thus the quotient vector space A / I is an involutive algebra and the norm ‖ ⋅ ‖ C ∗ {\displaystyle \|\cdot \|_{\operatorname...
6 KB (834 words) - 21:56, 10 November 2023
Theorem. Suppose μ, ν are standard measures on X, Y respectively. Then any involutive isomorphism Φ : L ∞ ( X , μ ) → L ∞ ( Y , ν ) {\displaystyle \Phi :L^{\infty...
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(linear algebraic groups) Alain Guichardet, Représentations des algèbres involutives (star-algebras) Michel A. Kervaire, Le problème de Poincaré en dimensions...
11 KB (1,189 words) - 20:04, 25 July 2023
distributive law, then the complementation can also be defined as an involutive anti-automorphism, that is, a structure A = (A, ≤, ¬) such that: (A, ≤)...
10 KB (1,118 words) - 02:29, 4 May 2024
the existence around each point of the space of a "symmetry" that is involutive, leaves the point fixed, and preserves distances. The unexpected fact...
28 KB (3,382 words) - 07:54, 21 August 2024
Introduction to commutative algebra. Addison–Wesley. Bourbaki, N. (1964). Algèbre commutative. Hermann. Bourbaki, N. (1989). Algebra I, Chapters 1–3. Springer...
99 KB (13,632 words) - 08:46, 14 August 2024
}}(T^{*}M)\subset TM} is a regular distribution; it is easy to check that it is involutive, therefore, by the Frobenius theorem, M {\displaystyle M} admits a partition...
61 KB (9,227 words) - 13:51, 23 July 2024
{F}}} on M {\displaystyle M} , its foliation algebroid is the associated involutive subbundle F ⊆ T M {\displaystyle {\mathcal {F}}\subseteq TM} , with brackets...
42 KB (7,376 words) - 13:13, 29 June 2024
said to be a bounded symmetric domain if for every x in Ω, there is an involutive biholomorphism σx of Ω for which x is an isolated fixed point. The Harish-Chandra...
52 KB (7,418 words) - 20:57, 10 January 2024
with c. The conjugation c0 then leaves G invariant and restricts to an involutive automorphism σ. By simple connectivity the same is true at the level of...
52 KB (7,216 words) - 14:30, 2 December 2022
scientifiques et industrielles, Hermann Clerc, J. (1992), "Représentation d'une algèbre de Jordan, polynômes invariants et harmoniques de Stiefel", J. Reine Angew...
109 KB (16,607 words) - 20:44, 7 March 2024