Traces on operator ideals defined over the class of all Banach spaces and related open problems
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Publication:6113051
DOI10.1007/s00020-023-02726-7zbMath1530.47026MaRDI QIDQ6113051
Publication date: 10 July 2023
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
spectrumtracecompletenessshift operatoroperator idealapproximation number\(\Phi\)-operatorBanach space with few operatorsshift-monotone sequence ideal
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Banach sequence spaces (46B45)
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- Quasi-Banach operator ideals with a very strange trace
- Singular traces. Theory and applications
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Rate of decay of \(s\)-numbers
- Traces on operator ideals and related linear forms on sequence ideals. III
- Counterexamples to a conjecture of Grothendieck
- Optimal domain and integral extension of operators, acting in function spaces
- The spectrum of shift operators and the existence of traces
- Powers of symmetric sequence ideals
- A new approach to operator ideals on Hilbert space and their traces
- Eigenvalue distribution of compact operators
- Analytic multivalued functions and spectral trace
- On a problem of Lions concerning real interpolation spaces. The quasi-Banach case
- Traces on operator ideals and related linear forms on sequence ideals. II
- Traces on operator ideals and related linear forms on sequence ideals. I
- Integration und holomorphe Funktionen in lokalbeschränkten Räumen
- Which traces are spectral?
- Completeness of quasi-normed operator ideals generated by \(s\)-numbers
- \(\sigma\)-Transformationen in lokalbeschränkten Vektorräumen
- Analytic interpolation of certain multiplier spaces
- The Unconditional Basic Sequence Problem
- Notes on Wolff's Note on Interpolation Spaces
- Traces and Shift Invariant Functionals
- On the Basis Problem in Normed Spaces
- Operator Ideals with a Trace
- 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
- Spectral characterization of sums of commutators I
- Shift-invariant functionals on Banach sequence spaces
- BOURGAIN–DELBAEN ℒ∞-SPACES, THE SCALAR-PLUS-COMPACT PROPERTY AND RELATED PROBLEMS
- Traces of Hilbert space operators and their recent history
- Traces on Operator Ideals and Related Linear Forms on Sequence Ideals (Part IV)
- Produits tensoriels topologiques et espaces nucléaires
- Commutators of Operators
- Biorthogonal systems in Banach spaces
