On the Jordan model operators
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On the radical in Hermitian LMC algebras
Dina Štěrbová (1986)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
On the spectral properties of elements of the type exp(ih) in Hermitian Banach algebras
Dina Štěrbová (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
On the spectral radius in locally multiplicatively convex topological algebras
Dina Štěrbová (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
On the structure of Jordan *-derivations
Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
On the uniform boundedness of elements of the type in Hermitian lmc-algebras
Dina Štěrbová (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
On the uniqueness of uniform norms and C*-norms
P. A. Dabhi, H. V. Dedania (2009)
Studia Mathematica
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...
Outers for noncommutative revisited
David P. Blecher, Louis E. Labuschagne (2013)
Studia Mathematica
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...
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