1997•Quaestiones MathematicaeOpen access

A SUPPLEMENT TO MY PAPER ON REAL AND COMPLEX OPERATOR IDEALS

Jörg Wenzel

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Abstract

We show that the main problem left open in [2] can be solved using the Banach spaces Zα recently constructed by Kalton [1]. This gives an example of a complex operator ideal that has no real analogue. It thus shows the richer structure of complex operator ideals compared with the real ones.

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What this paper is about

We show that the main problem left open in [2] can be solved using the Banach spaces Zα recently constructed by Kalton [1]. This gives an example of a complex operator ideal that has no real analogue. It thus shows the richer structure of complex operator ideals compared with the real ones.

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Available abstract

We show that the main problem left open in [2] can be solved using the Banach spaces Zα recently constructed by Kalton [1]. This gives an example of a complex operator ideal that has no real analogue. It thus shows the richer structure of complex operator ideals compared with the real ones.

Key concepts: Complex conjugate, Operator (biology), Mathematics, Finite-rank operator, Ideal (ethics), Banach space, Pure mathematics, Compact operator

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