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...

aa^{*}} and a ∗ a {\displaystyle a^{*}a} are self-adjoint, since * is an involutive antiautomorphism. For each element a {\displaystyle a} of a *-algebra...

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...

Edition. Springer. ISBN 978-3-319-05791-0. Dixmier, Jacques (1969). Les C*-algèbres et leurs représentations (in French). Gauthier-Villars. Dixmier, Jacques...

A closed under involution. Thus the quotient vector space A / I is an involutive algebra and the norm ‖ ⋅ ‖ C ∗ {\displaystyle \|\cdot \|_{\operatorname...

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...

distributive law, then the complementation can also be defined as an involutive anti-automorphism, that is, a structure A = (A, ≤, ¬) such that: (A, ≤)...

(linear algebraic groups) Alain Guichardet, Représentations des algèbres involutives (star-algebras) Michel A. Kervaire, Le problème de Poincaré en dimensions...

the existence around each point of the space of a "symmetry" that is involutive, leaves the point fixed, and preserves distances. The unexpected fact...

Introduction to commutative algebra. Addison–Wesley. Bourbaki, N. (1964). Algèbre commutative. Hermann. Bourbaki, N. (1989). Algebra I, Chapters 1–3. Springer...

}}(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...

{F}}} on M {\displaystyle M} , its foliation algebroid is the associated involutive subbundle F ⊆ T M {\displaystyle {\mathcal {F}}\subseteq TM} , with brackets...

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...

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...

scientifiques et industrielles, Hermann Clerc, J. (1992), "Représentation d'une algèbre de Jordan, polynômes invariants et harmoniques de Stiefel", J. Reine Angew...