## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 1272

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

**indices**are different from zero . A maximal symmetric operator is one which has ...Page 1454

I / T is a closed symmetric operator in Hilbert space , and T is bounded below , then a ( a ) the essential spectrum of T is a subset of the real axis which is bounded below ; ( b ) the deficiency

I / T is a closed symmetric operator in Hilbert space , and T is bounded below , then a ( a ) the essential spectrum of T is a subset of the real axis which is bounded below ; ( b ) the deficiency

**indices**of T are equal . Proof .Page 1610

( 16 ) Suppose that ( a , b ) = ( 0 , 0 ) , that the deficiency

( 16 ) Suppose that ( a , b ) = ( 0 , 0 ) , that the deficiency

**indices**[ of r are equal and that there exists a sequence { In } of square - integrable functions such that j , vanishes in the interval ( 0 , n ) , il = 1 , and | ( 2 ...### What people are saying - Write a review

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