On the equivalence of Hermitian inner products on topological *-algebras.
Abel, Mart, Abel, Mati (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Abel, Mart, Abel, Mati (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Lomidze, I. (1996)
Georgian Mathematical Journal
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Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Sánchez, Cristián U., Dal Lago, Walter, Calí, Ana L., Tala, José (2003)
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Amina Šahović, Fikret Vajzović (2008)
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Mostafa Mbekhta (2007)
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Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For an operator T in B(H), let σ(T) denote the generalized spectrum of T. In this paper, we prove that if φ: B(H) → B(H) is a surjective linear map, then φ preserves the generalized spectrum (i.e. σ(φ(T)) = σ(T) for every T ∈ B(H)) if and only if there is A ∈ B(H) invertible such that either φ(T) = ATA for every T ∈ B(H), or φ(T) = ATA for every T ∈ B(H). Also,...
Sibe Mardešić (1993)
Fundamenta Mathematicae
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