## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 2141

Thus we may pass without loss of generality from consideration of the sequence {

0m } to consideration of the sequence { 0m - 0 } ; that is , we may and shall

the ...

Thus we may pass without loss of generality from consideration of the sequence {

0m } to consideration of the sequence { 0m - 0 } ; that is , we may and shall

**assume**without loss of generality that o is void . Since Elom ) = E ( omo ( T ) ) , bythe ...

Page 2212

We now establish the relation ( ix ) f ( a ) = fy ( ) , le 0z0y To prove ( ix ) it may be

fz and fy are not identically equal and one of them , say fa , differs from both fy ...

We now establish the relation ( ix ) f ( a ) = fy ( ) , le 0z0y To prove ( ix ) it may be

**assumed**that 0 , = 0y , for if z = E , x ... that is , we shall**assume**that the functionsfz and fy are not identically equal and one of them , say fa , differs from both fy ...

Page 2342

By the remark following formula ( 3 ) , it is no loss of generality to

order of B , is my , and that mi > m2 > . . . > my , my + 1 > my + 2 > . . . > m2y .

Moreover , we may clearly

By the remark following formula ( 3 ) , it is no loss of generality to

**assume**that theorder of B , is my , and that mi > m2 > . . . > my , my + 1 > my + 2 > . . . > m2y .

Moreover , we may clearly

**assume**that the coefficient of f ( mi ) in the unique ...### What people are saying - Write a review

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