16 citations · 31 across the 11 of their papers we have counts for
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Poisson structure on predual of Banach Lie algebroid
Tomasz Goliński, Grzegorz Jakimowicz
We construct the linear Poisson bracket on the predual bundle of a Banach Lie algebroid. It is an alternative approach to the already known results on the linear sub-Poisson struct…
Nijenhuis operators on homogeneous spaces related to -algebras
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a unital non-simple -algebra we consider its Banach--Lie group of invertible elements. For a given closed ideal in , we consider…
Nijenhuis operators on Banach homogeneous spaces
Tomasz Goliński, Gabriel Larotonda, Alice Barbora Tumpach
For a Banach--Lie group and an embedded Lie subgroup we consider the homogeneous Banach manifold . In this context we establish the most general conditions…
Banach Lie groupoid of partial isometries over restricted Grassmannian
Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska
The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restr…