Rank α operators on the space C(T,X)

• Autorzy: Dumitru Popa
• Języki publikacji: EN

Abstrakty

EN

For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if $xₙ → \limits^{τ_{α}} x$ implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 47B38: Operators on function spaces (general)
• 47A80: Tensor products of operators
• 46M05: Tensor products
• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 2
• Strony: 255-262

Daty

wydano

2002

Twórcy

autor

Dumitru Popa

• Department of Mathematics, University of Constanţa, 8700 Constanţa, Romania

Identyfikatory

DOI

10.4064/cm91-2-5