Subsequences of frames

• Autorzy: R. Vershynin
• Języki publikacji: EN

Abstrakty

EN

Every frame in Hilbert space contains a subsequence equivalent to an orthogonal basis. If a frame is n-dimensional then this subsequence has length (1 - ε)n. On the other hand, there is a frame which does not contain bases with brackets.

Kategorie tematyczne

• 46B07: Local theory of Banach spaces
• 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 3
• Strony: 185-197

Daty

wydano

2001

Twórcy

autor

R. Vershynin

• Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel

Identyfikatory

DOI

10.4064/sm145-3-1