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$C^{*}$ -algebras of operators in non-archimedean Hilbert spaces

J. Antonio Alvarez (1992)

Commentationes Mathematicae Universitatis Carolinae

We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.

Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference

Claudi Alsina, Piedad Guijarro Carranza, M. S. Tomás (1996)

Archivum Mathematicum

We define the radius of the inscribed and circumscribed circumferences in a triangle located in a real normed space and we obtain new characterizations of inner product spaces.

Displaying 1 – 5 of 5

$C^{*}$ -algebras of operators in non-archimedean Hilbert spaces

Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference

Characterizing Hilbert space topology

Conditionally positive definite functions on linear spaces

Curvatures and Curves in Hilbert Space.

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

C * -algebras of operators in non-archimedean Hilbert spaces

Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference

Characterizing Hilbert space topology

Conditionally positive definite functions on linear spaces

Curvatures and Curves in Hilbert Space.

Currently displaying 1 – 5 of 5

$C^{*}$ -algebras of operators in non-archimedean Hilbert spaces