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Liouville's theorem for vector-valued functions
Authors: Mati Abel
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Abstract
It is shown in [2] that any X-valued analytic map on $\mathbb{C}\cup \{\infty\}$ is a constant map in case when X is a strongly galbed Hausdorff space. In [3] this result is generalized to the case when X is a topological linear Hausdorff space, the von Neumann bornology of which is strongly galbed. A new detailed proof for the last result is given in the present paper. Moreover, it is shown that for several topological linear spaces the von Neumann bornology is strongly galbed or pseudogalbed.Institute of Pure Mathematics
University of Tartu
2 J. Liivi Str., room 614
50409 Tartu, Estonia
E-mail:
University of Tartu
2 J. Liivi Str., room 614
50409 Tartu, Estonia
E-mail:
Fulltext
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Contents
- Academician Mitrofan M. Choban founder of the moldavian scientific school in topology
- Liouville's theorem for vector-valued functions
- On the number of metrizable group topologies on countable groups
- Short signatures from the difficulty of factoring problem
- Selected Old Open Problems in General Topology
- Infinitely many maximal primitive positive clones in a diagonalizable algebra
- Functional compactifications of T0-spaces and bitopological structures
- On free groups in classes of groups with topologies
- On a four-dimensional hyperbolic manifold with finite volume
- On spaces of densely continuous forms
- A selection theorem for set-valued maps into normally supercompact spaces
- Minimal m-handle decomposition of three-dimensional handlebodies
- Examples of quasitopological groups
- Certain differential superordinations using a multiplier transformation and Ruscheweyh derivative
- The 20th Conference on Applied and Industrial Mathematics (CAIM-2012) dedicated to the 70th anniversary of Academician Mitrofan M. Choban
