STABILITY OF UNCONDITIONAL SCHAUDER DECOMPOSITIONS IN SPACES

DOI10.1017/S0004972715000775zbMath1352.46013MaRDI QIDQ3458384

Vitalii Marchenko

Publication date: 18 December 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Khintchine inequalitycotypetypeinfratypeunconditional Schauder decomposition

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (3)

Stability of Riesz bases ⋮ One Class of Linearly Growing C_0-Groups ⋮ Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

Cites Work

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• On relatively bounded perturbations of ordinary differential operators
• Commuting spectral measures on Hilbert space
• Bari–Markus property for Riesz projections of 1D periodic Dirac operators
• A separable space with no Schauder decomposition
• Similarity for sequences of projections
• Schauder decompositions in non-separable Banach spaces
• Perturbation Theorems for Relative Spectral Problems

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