On quadratic and sesquilinear functionals |
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| Authors: | Peter ?emrl |
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| Institution: | (1) Institute of Math., Physics and Mechanics, P.O. Box 543, Y-61001 Ljubljana, Yugoslavia |
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| Abstract: | LetX be a leftA-module, whereA is either a complex Banach *-algebra with an identity element or the field of quaternions. The main result of this note is that forQ, anA-quadratic functional defined onX, there exists a sesquilinear functionalB such thatB(x,x)=Q(x) holds for allx X. |
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| Keywords: | Primary 39B50 |
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