## Question

###### Question 4 (SOpts)For T â‚¬ L(V), show that T can be written as a linear combination of isometries:Hint: If S* = Sand IISll < 1,then $ is a linear combination of two isometries: (If you want to use this fact; you must prove it:)

Question 4 (SOpts) For T â‚¬ L(V), show that T can be written as a linear combination of isometries: Hint: If S* = Sand IISll < 1,then $ is a linear combination of two isometries: (If you want to use this fact; you must prove it:)

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