## Linear Operators: Spectral theory |

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Page 1226

Part ( a ) follows immediately from

immediately from part ( a ) and

) that any symmetric operator with dense domain has a unique minimal closed

symmetric ...

Part ( a ) follows immediately from

**Lemma**5 ( b ) , and part ( b ) followsimmediately from part ( a ) and

**Lemma**5 ( c ) . Q.E.D. It follows from**Lemma**6 ( b) that any symmetric operator with dense domain has a unique minimal closed

symmetric ...

Page 1696

By

a carrier which is a compact subset Cm ... included in a cube D , it follows from

distribution ...

By

**Lemma**14 there is a sequence { Fm } of elements of D ( I ) , each of which hasa carrier which is a compact subset Cm ... included in a cube D , it follows from

**Lemmas**13 , 3.43 and 3.12 that there is a unique extension G of F to adistribution ...

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Q.E.D.

neighborhood of the boundary of a domain with smooth boundary . This is carried

out in the next two

Q.E.D.

**Lemma**18 enables us to use the method of proof of Theorem 2 in theneighborhood of the boundary of a domain with smooth boundary . This is carried

out in the next two

**lemmas**. 19**LEMMA**. Let o be an elliptic formal partial ...### What people are saying - Write a review

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