-point invariants of real geometries.
Matrix inequalities by means of embedding.
Maximization for inner products under quasi-monotone constraints.
Metric spaces in pure and applied mathematics.
Metrische G-Moduln über Körpern der Charakteristik 2.
Minima of Vector Quadratic Forms with Applications to Statistics
Modular quadratic and Hermetian forms over Dedekind rings. I.
Modular quadratic and Hermitian forms over Dedekind rings.
Monotonicity of the maximum of inner product norms
Let be the field of real or complex numbers. In this note we characterize all inner product norms on for which the norm on is monotonic.
Multilinear forms in Pareto-like random variables and product random measures
New results for EP matrices in indefinite inner product spaces
In this paper we study -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some...
Nondegenerate invariant bilinear forms on nonassociative algebras.
Norm attaining bilinear forms on C*-algebras
We give a sufficient condition on a C*-algebra to ensure that every weakly compact operator into an arbitrary Banach space can be approximated by norm attaining operators and that every continuous bilinear form can be approximated by norm attaining bilinear forms. Moreover we prove that the class of C*-algebras satisfying this condition includes the group C*-algebras of compact groups.
Note on Inner Products in Vector Spaces.
Note on the degree of concavity of the determinant on sets of positive definite quadratic forms.
Numerical ranges of an operator on an indefinite inner product space.
On 4-dimensional locally conformally flat almost Kähler manifolds
Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
On a class of positive semidefinite biquadratic forms. (Sur une classe de formes biquadratiques semi-définies positives.)
On bilinear forms based on the resolvent of large random matrices
Consider a non-centered matrix with a separable variance profile: Matrices and are non-negative deterministic diagonal, while matrix is deterministic, and is a random matrix with complex independent and identically distributed random variables, each with mean zero and variance one. Denote by the resolvent associated to , i.e. Given two sequences of deterministic vectors and with bounded Euclidean norms, we study the limiting behavior of the random bilinear form: as the dimensions...
On classification of normal matrices in indefinite inner product spaces.