On the Theory of Fundamental Norming Bounded Biorthogonal Systems in Banach Spaces

DOI10.2307/2000509zbMath0621.46013OpenAlexW4240493247MaRDI QIDQ3756782

Paolo Terenzi

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000509

zbMATH Keywords

biorthogonaluniformly minimal norming M-basisquasi complementary subspaces

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (6)

Sistemi biortogonali negli spazi di Banach ⋮ Optimization of sequences in a Banach space ⋮ Regularizability of superposition of inverse linear operators ⋮ On \(\ell^1\)-invariant sequence spaces ⋮ A note on weakly Lindelöf determined Banach spaces ⋮ A positive answer to the basis problem

Cites Work

• The separable extension problem
• On biorthogonal systems and total sequences of functionals
• A counterexample to the approximation problem in Banach spaces
• Extension of Uniformly Minimal M -Basic Sequences in Banach Spaces
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• All separable Banach space admit for every ε>0 fundamental total and bounded by 1 + ε biorthogonal sequences
• Shorter Notes: Short Proof of Sobczyk's Theorem
• On the existence of fundamental and total founded biorthogonal systems in Banach spaces
• Projection of the space (𝑚) on its subspace (𝑐₀)
• Note on a theorem of Murray
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