A noncommutative analogue of |D(Xk)|=|kXk−1|

Sunder, V. S. (1982) A noncommutative analogue of |D(Xk)|=|kXk−1| Linear Algebra and its Applications, 44 . pp. 87-95. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0024-3795(82)90006-4


The paper concerns alternating powers of a Hilbert space. Let ∧k be defined by ∧k(A)(x1∧...∧xk)=Ax1∧...∧Axk. It is proved that the norm of the linear map D∧k(A) depends only upon |A| and is assumed at the identity.

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