Isomorphic classification of the tensor products $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$

• Autorzy: Peter Chalov , Vyacheslav Zakharyuta
• Języki publikacji: EN

Abstrakty

EN

It is proved, using so-called multirectangular invariants, that the condition αβ = α̃β̃ is sufficient for the isomorphism of the spaces $E₀(exp αi) ⊗̂ E_{∞}(exp βj)$ and $E₀(exp α̃i) ⊗̂ E_{∞}(exp β̃j)$. This solves a problem posed in [14, 15, 1]. Notice that the necessity has been proved earlier in [14].

Kategorie tematyczne

• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
• 46A32: Spaces of linear operators; topological tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 204
• Numer: 3
• Strony: 275-282

Daty

wydano

2011

Twórcy

autor

Peter Chalov

• Department of Mathematics, South Federal University, 344090 Rostov-na-Donu, Russia

autor

Vyacheslav Zakharyuta

• Sabanci University, 34956 Istanbul, Turkey

Identyfikatory

DOI

10.4064/sm204-3-6