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The minimum principle on the sequential complete local convex spaces

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Abstract

The minimum principle establishes cases when the infimum of a family of functions is plurisubharmonic. In [18], the author has otained this principle on the space that is the special inductive limits of Banach spaces. In this paper, we will establish the minimum principle on some classes of Hausdorff sequential complete local convex spaces.

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Acknowledgements

The author is grateful to Professor Nguyen Van Khue for suggesting the research idea and for many helpful discussions during the preparation of this paper. This work was supported by the T2020 - TD - 02 - BS program.

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Correspondence to Hoang Nhat Quy.

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Communicated by Kaushal Verma.

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Quy, H.N. The minimum principle on the sequential complete local convex spaces. Indian J Pure Appl Math 54, 1286–1297 (2023). https://doi.org/10.1007/s13226-023-00397-z

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