Abstract
and dim H1 = K, a positive integer. Such a space H will be called a space [l,7 with an indefinite metric. Another, axiomatic definition of the space [l,7 was given by I. S. lohvidov and M. G. Krein in [1]; we follow here their terminology, unless otherwise stated, and use the results of their paper. A linear operator A in [l,7 is called symmetric if it maps a dense domain D(A)(4) in [l,7 into [l,7 and has the property,
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