The trace of the commutator of the Cesàro operator and a compact operator
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Vasile Lauric
Abstract
In this note we will prove that the trace of a commutator of the discrete Cesáro operator and a compact operator is zero when the commutator belongs to the trace-class.
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Communicated by Marcus Waurick
References
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Artikel in diesem Heft
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- Doc. RNDr. Roman Frič, DrSc. – 3/4 C?
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- On the topology of partial metric spaces
- The trace of the commutator of the Cesàro operator and a compact operator
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- On 4-th root metrics of isotropic scalar curvature
- On ultrametric-preserving functions
- Porosity of 𝓢-approximately continuous functions
- On a modified Burr XII distribution having flexible hazard rate shapes
- A study of chi-square-type distribution with geometrically distributed degrees of freedom in relation to distributions of geometric random sums
- An alternative estimate for the numerical radius of Hilbert space operators
Artikel in diesem Heft
- Regular papers
- Doc. RNDr. Roman Frič, DrSc. – 3/4 C?
- Sugihara algebras and Sugihara monoids: Multisorted dualities
- Two by two squares in set partitions
- Identifying quantum logics by numerical events
- Some remarks on divisible polyhedral MV-algebras
- Remarks on b-metrics, ultrametrics, and metric-preserving functions
- Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces
- Maximum term of transcendental entire function and spider’s web
- Entire solutions of certain type of non-linear differential equations
- On the oscillatory behavior of third order differential equations with a sublinear neutral term
- Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator
-
The amalgam space
- On the topology of partial metric spaces
- The trace of the commutator of the Cesàro operator and a compact operator
- Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold
- On 4-th root metrics of isotropic scalar curvature
- On ultrametric-preserving functions
- Porosity of 𝓢-approximately continuous functions
- On a modified Burr XII distribution having flexible hazard rate shapes
- A study of chi-square-type distribution with geometrically distributed degrees of freedom in relation to distributions of geometric random sums
- An alternative estimate for the numerical radius of Hilbert space operators
