Projectivity and lifting of Hilbert module maps
نویسندگان
چکیده
منابع مشابه
Inner Products and Module Maps of Hilbert C∗-modules
Let E and F be two Hilbert C∗-modules over C∗-algebras A and B, respectively. Let T be a surjective linear isometry from E onto F and φ a map from A into B. We will prove in this paper that if the C∗-algebras A and B are commutative, then T preserves the inner products and T is a module map, i.e., there exists a ∗-isomorphism φ between the C∗-algebras such that 〈Tx, Ty〉 = φ(〈x, y〉), and T (xa) ...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1997
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-66-1-43-48