Brauner space

From formulasearchengine
Jump to navigation Jump to search

In functional analysis and related areas of mathematics Brauner space is a complete compactly generated locally convex space having a sequence of compact sets such that every other compact set is contained in some .

Brauner spaces are named after Kalman Brauner,[1] who first started to study them. All Brauner spaces are stereotype and are in the stereotype duality relations with Fréchet spaces:[2][3]

Examples

Notes

  1. Template:Harvtxt.
  2. Template:Harvtxt.
  3. 3.0 3.1 Template:Harvtxt. Cite error: Invalid <ref> tag; name "Akbarov-2" defined multiple times with different content
  4. The stereotype dual space to a locally convex space is the space of all linear continuous functionals endowed with the topology of uniform convergence on totally bounded sets in .

References

  • {{#invoke:citation/CS1|citation

|CitationClass=book }}

  • {{#invoke:citation/CS1|citation

|CitationClass=book }}

  • {{#invoke:Citation/CS1|citation

|CitationClass=journal }}

  • {{#invoke:Citation/CS1|citation

|CitationClass=journal }}

  • {{#invoke:Citation/CS1|citation

|CitationClass=journal }}

Template:Functional Analysis

Template:Mathanalysis-stub