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A generalization of Lagrange multipliers: Corrigendum
Published online by Cambridge University Press: 17 April 2009
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There is a lacuna in the proof of Lemma 1 of [1]; the projector q is assumed without proof. An alternative, valid proof is as follows.
LEMMA 1. Let S, U0, V0 be real Banach spaces; let A : S → U0 and B : S → V0 be continuous linear maps, whose null spaces are N(A) respectively N(B); let N(A) ⊂ N(B) : let A map S onto U0. Then there exists a continuous linear map C : U0 → V0 such that B = C ° A.
- Type
- Corrigendum
- Information
- Bulletin of the Australian Mathematical Society , Volume 18 , Issue 1 , February 1978 , pp. 159 - 160
- Copyright
- Copyright © Australian Mathematical Society 1978
References
[1]Craven, B.D., “A generalization of Lagrange multipliers”, Bull. Austral. Math. Soc. 3 (1970), 353–362.CrossRefGoogle Scholar
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