Uniformly invariant normed spaces

Authors

  • AM Forouzanfar Faculty of mathematical Sciences and Computer, Shahid Chamran University, Ahvaz
  • S Khorshidvandpour Faculty of mathematical Sciences and Computer, Shahid Chamran University, Ahvaz
  • Z Bahmani Department of Mathematics, Islamic Azad University, Genaveh Branch, Genaveh

DOI:

https://doi.org/10.3126/bibechana.v10i0.7555

Keywords:

Completely invariant space, Uniformly invariant space, Unitary space, Positive operator

Abstract

In this work, we introduce the concepts of compactly invariant and uniformly invariant. Also we define sometimes C-invariant closed subspaces and then prove every m-dimensional normed space with m > 1 has a nontrivial sometimes C-invariant closed subspace. Sequentially C-invariant closed subspaces are also introduced. Next, An open problem on the connection between compactly invariant and uniformly invariant normed spaces has been posed. Finally, we prove a theorem on the existence of a positive operator on a strict uniformly invariant Hilbert space.

DOI: http://dx.doi.org/10.3126/bibechana.v10i0.7555

BIBECHANA 10 (2014) 31-33

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Published

2013-10-31

How to Cite

Forouzanfar, A., Khorshidvandpour, S., & Bahmani, Z. (2013). Uniformly invariant normed spaces. BIBECHANA, 10, 31–33. https://doi.org/10.3126/bibechana.v10i0.7555

Issue

Vol. 10 (2014)

Section

Research Articles

License

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