1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia

Opción 1: Descargar recurso

Detalles del recurso


The dissertation will be divided into two parts. The first part will, in essence, be a study of weak compactness in a variety of families of normed spaces. Included in this study will be general characterizations of weak compactness in spaces of vector measures and tensor products that contain all known results of this nature as special cases (in particular, we do not need to restrict attention to only those range spaces with strong geometric properties such as, for example, the Radon-Nikodym property). The methods of Nonstandard Analysis constitute a fundamental tool in these investigations.

The second part of the dissertation will contain a discussion and a study of Model theoretic aspects of categories of normed spaces. We will introduce multi-sorted formal languages that enable us to view various subcategories of the category of normed spaces as being equivalent to categories of set-valued models of coherent theories in these languages. We see, in particular, that the category of real normed spaces is equivalent to the category of set-valued models of a lim-theory, and that, for instance, the category of L-spaces is equivalent to the category of set-valued models of a coherent extension of this lim-theory. These considerations allow for proofs of existence of 2-adjoints to inclusion functors from some 2-categories into the 2-category of Topos-valued normed spaces, and the study of the elementary properties of these adjoints.

The coherent theory of Hilbert spaces gives rise to interesting spatial Toposes when the appropriate "adjoint functor theorems" are proved. The sites of these toposes are spectral spaces (in the sense of Algebraic geometry) with interesting cohomological properties.

Pertenece a



Wiid, Frans Gerhardus Johannes - 

Id.: 69697480

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Tipo de recurso: Thesis  -  NonPeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://resolver.caltech.edu/CaltechTHESIS:03092017-112801788
[References] http://thesis.library.caltech.edu/10092/

Fecha de contribución: 10-mar-2017


* Wiid, Frans Gerhardus Johannes (1982) Aspects of the Theory of Normed Spaces. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:03092017-112801788

Otros recursos que te pueden interesar

  1. Cancer in the organ donor Organ Donation and Cancer Pr Olivier Detry, Dpt of Abdominal Surgery and Transplantation, Universi...
  2. Fire risk assessment of multi-story buildings based on fragility analysis Peer reviewed
  3. A method for independent component graph analysis of resting-state fMRI. Brain and Behavior 2017, in press Peer reviewed
  4. Revealing hidden species diversity in closely related species using nuclear SNPs, SSRs and DNA sequences - a case study in the tree genus Milicia Peer reviewed
  5. How to define relation between ʿAnatu and Baʿlu: answer by absence of proofs The aim of this paper is to determine whether there is heterarchy between the two main entities — tr...

Otros recursos de la mismacolección

  1. Studies of the Conformational Properties of Dinucleoside Monophosphates and Oligoribonucleotides by Proton Magnetic Resonance

    The structural and conformational properties of several dinucleoside monophosphates and oligonucl...

  2. I. Synthesis of dl-cis-Tetrahydroeremophilone. II. Studies on Systems Free From Angular Strain

    I. The total synthesis of racemic cis-tetrahydroeremophilone (17) has been achieved. The key feat...

  3. Disjointness Preserving Operators

    Let E and F be Archimedian Riesz spaces. A linear operator T : E → F is called disjointness prese...

  4. Observations on the Theory and Characteristics of Electrical Figures on Plates in Air with Particular Reference to their Speed of Growth The fact that electrical figures in air at atmospheric pressure grow with average velocities which l...
  5. The Hydration of Isobutene. I. The Hydration Rate of Isobutene in Dilute Nitric Acid. II. The Free Energy of Hydration of Isobutene. III. The Hydration of Isobutene in the Presence of Silver Nitrate

    The three articles contained in this thesis describe the investigation of the hydration of isobut...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.