Quadratic and Quasi-Quadratic Functionals
From MaRDI portal
Publication:4292213
DOI10.2307/2159972zbMath0803.15024OpenAlexW4244920452MaRDI QIDQ4292213
Publication date: 1 June 1994
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2159972
pre-Hilbert spacesesquilinear functionalquasi-quadratic functionalJordan-star-derivationsJordan-von Neumann characterization
Related Items
Nonlinear maps preserving the Jordan triple *-product on factor von Neumann algebras ⋮ Strong skew commutativity preserving maps on rings with involution. ⋮ Nonlinear skew Lie triple derivations between factors ⋮ Nonlinear mappings preserving Jordan-type \(\eta\)-\(\ast\)-products ⋮ Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ Jordan *-derivation pairs on a complex *-algebra ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ A condition for a subspace of \({\mathcal B} (H)\) to be an ideal ⋮ Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space ⋮ Jordan *-derivations and quadratic functionals on octonion algebras ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ \(\ast\)-Lie-Jordan-type maps on \(C^\ast\)-algebras ⋮ Jordan \(\tau \)-derivations of prime GPI-rings ⋮ Strong bi-skew commutativity preserving maps on von Neumann algebras ⋮ Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Structure of generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Functional identities and their applications ⋮ Local Jordan *-derivations of standard operator algebras ⋮ Nonlinear maps preserving the Jordan triple \(\ast\)-product between factors ⋮ Jordan \(\tau\)-derivations of locally matrix rings. ⋮ A generalization of the original Jordan-von Neumann theorem ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Nonlinear *-Lie-type derivations on standard operator algebras ⋮ Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras ⋮ Multiplicative *-Lie type higher derivations of standard operator algebras ⋮ On nth power ∗-property in ∗-rings with applications ⋮ Nonlinear maps preserving Jordan \(\ast\)-products ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ Maps preserving product \(XY -YX^*\) on factor von Neumann algebras ⋮ The range of a Jordan *-derivation on an \(H^*\)-algebra ⋮ On the structure of generalized Jordan *-derivations of prime rings ⋮ Nonlinear skew commuting maps on \(*\)-rings ⋮ Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products