## Linear Operators: Spectral operators |

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Results 1-3 of 83

Page 1951

Let 0 € 7 and let To = TE ( 0 ) | E ( o ) X , the restriction of T to the invariant

subspace E ( o ) X . Since o ( T . ) 97 , it follows that 0 € p ( TO ) and hence To +

exists as a bounded

Let 0 € 7 and let To = TE ( 0 ) | E ( o ) X , the restriction of T to the invariant

subspace E ( o ) X . Since o ( T . ) 97 , it follows that 0 € p ( TO ) and hence To +

exists as a bounded

**linear**operator in the space E . ( X ) . Let V , be the bounded**linear**...Page 1960

It is clear that if aij , i , j = 1 , . . . , P , is any set of p2 bounded

, the equations ( 4 ) | = ủau , , , i = 1 , . . . , P , define a bounded

, . . . , Xp ] — [ 41 , . . . , yp ] of HP into itself . If we use the symbols x and y for the ...

It is clear that if aij , i , j = 1 , . . . , P , is any set of p2 bounded

**linear**operators in H, the equations ( 4 ) | = ủau , , , i = 1 , . . . , P , define a bounded

**linear**map A : [ X1, . . . , Xp ] — [ 41 , . . . , yp ] of HP into itself . If we use the symbols x and y for the ...

Page 2533

Closed

Math . 12 , 183 – 186 ( 1962 ) . 2 . Unbounded

applications . McGraw - Hill , New York , 1966 . Goldberg , S . , and Schubert , C .

1 .

Closed

**linear**operators and associated continuous**linear**operators . Pacific J .Math . 12 , 183 – 186 ( 1962 ) . 2 . Unbounded

**linear**operators : Theory andapplications . McGraw - Hill , New York , 1966 . Goldberg , S . , and Schubert , C .

1 .

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