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The point equation of the associated curve of the indefinite numerical range is derived, following Fiedler’s approach for definite inner product spaces. The classification of the associated curve is presented in the $3 \times 3$ indefinite case, using Newton’s classification of cubic curves. Illustrative examples of all the different possibilities are given. The results obtained extend to Krein spaces results of Kippenhahn on the classical numerical range.

Inequalities involving the inner product.

Popa, Dorian, Raşa, Ioan (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Infinite dimensional extension of A. P. Calderòn's theorem on positive semidefinite biquadratic forms.

Aqzzouz, B., El Kadiri, M. (2002)

Lobachevskii Journal of Mathematics

Infinite probabilistic secret sharing

Laszlo Csirmaz (2023)

Kybernetika

A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of participants allows us to investigate their abstract properties, to connect the topic to other branches of mathematics, and to discover new design paradigms. A scheme is perfect if unqualified subsets have no information on the secret, that is, their total share...

Infinite-dimensional bicomplex Hilbert spaces.

Gervais Lavoie, Raphaël, Marchildon, Louis, Rochon, Dominic (2010)

Annals of Functional Analysis (AFA) [electronic only]

Interpolation functions of several matrix variables.

Ameur, Y. (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Invariant properties of the generalized canonical mappings

Stanisław Janeczko (1999)

Banach Center Publications

One of the fundamental objectives of the theory of symplectic singularities is to study the symplectic invariants appearing in various geometrical contexts. In the paper we generalize the symplectic cohomological invariant to the class of generalized canonical mappings. We analyze the global structure of Lagrangian Grassmannian in the product symplectic space and describe the local properties of generic symplectic relations.

Displaying 1 – 14 of 14

$I$ -measures in Minkowski planes.

Identification and estimation of parameters in abstract Cauchy problems.

Improvement of Jensen-Steffensen's inequality for superquadratic functions.

Indefinite Funtions on Commutative Groups.

Indefinite numerical range of $3 \times 3$ matrices

Inequalities involving the inner product.

Infinite dimensional extension of A. P. Calderòn's theorem on positive semidefinite biquadratic forms.

Infinite probabilistic secret sharing

Infinite-dimensional bicomplex Hilbert spaces.

Interpolation functions of several matrix variables.

Invariant properties of the generalized canonical mappings

Isomorphic characterizations of Hilbert spaces by orthogonal series with vector valued coefficients

Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients

Iterated Means of Convex Bodies.

Currently displaying 1 – 14 of 14