Examinando por Materia "Frames"
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Publicación Acceso abierto Caracterización de marcos en espacios 2-Hilbert(2022-09-03) Negrete Petro, Pedro Manuel; Ferrer Villar, OsminIn this research work we will give a characterization of two special classes of frames such as dual frames and Parseval frames in 2-Hilbert spaces, furthermore we will show some properties that transfer from frames in Hilbert spaces to frames in 2-Hilbert spaces. In addition we will give a necessary and sufficient condition for a countable sequence of vectors of a 2-Hilbert space to be a 2-frame of Parseval. Finally it will be shown how to construct 2-frames and 2-Parseval frames from some bounded operators.Publicación Acceso abierto Construcción y caracterización de marcos ortogonales en espacios de métrica indefinida(recursos propios, 2022-11-17) Polo Flórez, Osvaldo de Jesús; Ferrer Villar, OsminIn the present work we introduce the concept of orthogonal frames in Krein spaces, prove the independence of the election of the fundamental symmetry, and from this we obtain a number of interesting properties that they satisfy. We show that there is no distinction between orthogonal frames in a Krein space and orthogonal frames in its associated Hilbert. In addition, we give some characterizations of frames in spaces of undefined metric, which is a useful tool for constructing new examples of frames.Publicación Acceso abierto Orthogonal Frames in Krein Spaces †(2022) Ferrer, Osmin; Sierra, Arley; Polo, OsvaldoIn this paper, we introduce the concept of orthogonal frames in Krein spaces, prove the independence of the choice of the fundamental symmetry, and from this, we obtain a number of interesting properties that they satisfy. We show that there is no distinction between orthogonal frames in a Krein space and orthogonal frames in its associated Hilbert. Furthermore, we characterize frames dual to a given frame, which is a useful tool for constructing examples.