The other identities are proven the exact same way Comment If we work with one

# The other identities are proven the exact same way

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The other identities are proven the exact same way.Comment.If we work with one Hilbert spaceH, then the above result givesthe fact thatB(H) is aunital involutive Banach algebra.(See Section 5 for theterminology.) This will be crucial for the development of the theory.Another important set of results deals with the kernel and the range.