Properties of cones of nuclear operators working on some separable Hilbert spaces

Analogues of the Sobolev space H^1 are defined at the level of nuclear operators. These sets of operators are no longer normed linear spaces but cones equipped with a concept of total energy that replaces the role of the square of a norm. Using Operator Theory, we obtain properties similar to those...

• Auteur principal: Villagómez Chiluisa, Antonio Xavier (author)
• Format: bachelorThesis
• Langue: eng
• Publié: 2023
• Sujets: Cono tipo Sobolev; Funcional de energía libre; Operadores nucleares; Sobolev-like cone; Free energy functional; Nuclear operator
• Accès en ligne: http://repositorio.yachaytech.edu.ec/handle/123456789/672