[PDF][PDF] On projective tensor norm and norm-attainable α-derivations

NB Okelo, MO Okongo, SA Nyakiti - Int. J. Contemp. Math …, 2010 - researchgate.net
Int. J. Contemp. Math. Sciences, 2010researchgate.net
… In this note we investigate the projective tensor product, VΓ ⊗ρ WΓ, of these algebras. In
particular, we show that if μ = … and δ(2) on Γ- Banach algebras VΓ and WΓ, respectively
give rise to a derivation δ on their projective tensor product? If yes, can one estimate the
norm of δ with the help of α - derivations δ(1) and δ(2) ? …
Abstract
Let V, W be normed spaces and VΓ, WΓ be Γ-Banach algebras. In this note we investigate the projective tensor product, VΓ⊗ ρ WΓ, of these algebras. In particular, we show that if μ=
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