## Linear Operators: Spectral theory |

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from which it follows that || T - Tmll Sɛ for m > m ( s ) and completes the

from which it follows that || T - Tmll Sɛ for m > m ( s ) and completes the

**proof**that HS is a B - space under the Hilbert - Schmidt norm . Finally , let T be in HS and let B be any bounded linear operator in H. Then || BT || 2 ...Page 1179

**Proof**. We saw in the course of proving Theorem 25 that the mapping M X which sends a scalar - valued function with the Fourier transform ( 5 ) into the vector - valued function whose nth component has the Fourier transform İn ...Page 1459

**PROOF**. It is obvious from Definition 20 that t is bounded below . Thus the present corollary follows from Corollary 7 and Definition 25 ( b ) . Q.E.D. 31 COROLLARY . Suppose in addition to the hypotheses of Theorem 8 that the ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

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