%0 Journal Article
%T Uniformly invariant normed spaces
%A AM Forouzanfar
%A S Khorshidvandpour
%A Z Bahmani
%J BIBECHANA
%P 31-33
%@ 2382-5340
%D 2014
%R 10.3126/bibechana.v10i0.7555
%X 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
%K Completely invariant space
%K Uniformly invariant space
%K Unitary space
%K Positive operator
%U http://www.nepjol.info/index.php/BIBECHANA/article/view/7555