Paper's Title:

Invariant Subspaces Close to Almost Invariant Subspaces for Bounded Linear Operators

Author(s):

M. A. Farzaneh, A. Assadi and H. M. Mohammadinejad

Department of Mathematical and Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
E-mail: farzaneh@birjand.ac.ir

Department of Mathematical and Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
E-mail: assadi-aman@birjand.ac.ir

Department of Mathematical and Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
E-mail: hmohammadin@birjand.ac.ir

Abstract:

In this paper, we consider some features of almost invariant subspace notion. At first, we restate the notion of almost invariant subspace and obtain some results. Then we try to achieve an invariant subspace completely close to an almost invariant subspace. Also, we introduce the notion of  "almost equivalent subspaces"  to simply the subject related to almost invariant subspaces and apply it.

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