Linear Operators: Spectral theory |
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Page 984
The set of functions f in L ( R ) for which f vanishes in a neighborhood of infinity is dense in Ly ( R ) . Proof . It follows from Lemma 3.6 that the set of all functions in L2 ( R , B , u ) which vanish outside of compact sets is ...
The set of functions f in L ( R ) for which f vanishes in a neighborhood of infinity is dense in Ly ( R ) . Proof . It follows from Lemma 3.6 that the set of all functions in L2 ( R , B , u ) which vanish outside of compact sets is ...
Page 997
Let | be a function in Ly ( R ) , L2 ( R ) whose transform of vanishes on the complement of V and let A be the linear manifold in L ( R ) of elements of the form a n φν ( α ) = Σc , [ r , m , ] [ where mi e o ( 9 ) + V . For each such ...
Let | be a function in Ly ( R ) , L2 ( R ) whose transform of vanishes on the complement of V and let A be the linear manifold in L ( R ) of elements of the form a n φν ( α ) = Σc , [ r , m , ] [ where mi e o ( 9 ) + V . For each such ...
Page 1650
If F vanishes in each set Iç , it vanishes in UI , Proof . The proofs of the first four parts of this lemma are left to the reader as an exercise . To prove ( v ) , we must show from our hypothesis that F ( q ) = 0 if ♡ is in CO ( Uqla ) ...
If F vanishes in each set Iç , it vanishes in UI , Proof . The proofs of the first four parts of this lemma are left to the reader as an exercise . To prove ( v ) , we must show from our hypothesis that F ( q ) = 0 if ♡ is in CO ( Uqla ) ...
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Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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