Rueda-Prada, William F.

Profile Picture

Filters

20181
Reset filters

Settings

Citations

Publication Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Publication
    El problema de Paulsen en teoría de operadores
    (2018-11-05) Rueda-Prada, William F.; Romero-Oliveras, Juan; College of Arts and Sciences - Sciences; Portnoy, Arturo; Quiñones, Wilfredo; Department of Mathematics; Marín, Carlos
    Hilbert space frame theory has a great impact in some of the deepest problems in pure and applied mathematics. Equal norm Parseval frames turn out to be significantly important to applications; nevertheless, their class is one of the least understood classes of frames. Because of the difficulty of finding equal norm Parseval frames the Paulsen problem was of great interest. In this investigation we study the fundamental aspects of Hilbert space finite frame theory. We analized the relationship between the chordal distance of two subspaces to the distance between their orthogonal projections, as well as the connection between the distance of proyections and the distance between the corresponding ranges of the analysis operators for Parseval frames. Finally, we analized the equivalence beetwen the Paulsen problem and a fundamental problem in operator theory known as the projection problem, besides, we present a proof of the equivalence between two generalizations of these problems.