Representation of bilinear forms in Hilbert space by linear operators
نویسندگان
چکیده
منابع مشابه
D. Attimu and T. Diagana REPRESENTATION OF BILINEAR FORMS BY LINEAR OPERATORS IN NON-ARCHIMEDEAN HILBERT SPACE EQUIPPED WITH A KRULL VALUATION
The paper considers representing bilinear forms by linear operators in the case of a Krull valuation. More precisely, after making some suitable assumptions, we prove that if φ is a non-degenerate bilinear form, then φ is representable by a unique linear operator A whose adjoint operator A∗ exists.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1968
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1968-0221299-7