Uniqueness of invariant Hahn-Banach extensions.
P. Bandyopadhyay, A. K. Roy (2007)
Extracta Mathematicae
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P. Bandyopadhyay, A. K. Roy (2007)
Extracta Mathematicae
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Roman Badora (1993)
Annales Polonici Mathematici
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We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
Laurian Suciu (2006)
Extracta Mathematicae
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Some invariant subspaces for the operators A and T acting on a Hilbert space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {TAT; n ≥ 1}. More complete results are...
Bistroń, Anna (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Seán Dineen (1995)
Banach Center Publications
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Chipalkatti, Jaydeep V. (2006)
Beiträge zur Algebra und Geometrie
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Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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Farkas, G. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Ludwig Bröcker (1998)
Banach Center Publications
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For a symmetric (= invariant under the action of a compact Lie group G) semialgebraic basic set C, described by s polynomial inequalities, we show, that C can also be written by s + 1 G-invariant polynomials. We also describe orbit spaces for the action of G by a number of inequalities only depending on the structure of G.
Ł. Stettner (1991)
Colloquium Mathematicae
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Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Lomadze, N. (1997)
Georgian Mathematical Journal
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