Compactly coinvariant subspaces

Downloads

DOI:

https://doi.org/10.26637/mjm501/001

Abstract

First, we obtain some results on compactly invariant subspaces in normed spaces. Then we introduce the notion of compactly coinvariant pair. Also, a sufficient condition for a normed space X has a compactly coinvariant pair, is given.

Keywords:

Compactly invariant subspace, Compactly coinvariant subspace, Reflexive space

Mathematics Subject Classification:

46B20, 46B50
  • Pages: 1-3
  • Date Published: 01-01-2017
  • Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)

N. Aronszajn and K. T. Smith, Invariant subspaces of completely continuous operators, Ann. of Math., 60 (2) (1954), 345-350. DOI: https://doi.org/10.2307/1969637

A. R. Bernstein and A. Robinson, Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos, Pacific J. Math., 16 (1966), 421-431. DOI: https://doi.org/10.2140/pjm.1966.16.421

P. Enflo, On the invariant subspace problem for Banach spaces, Acta Math., 158 (3-4) (1987), 213-313. DOI: https://doi.org/10.1007/BF02392260

A. M. Forouzanfar, S. Khorshidvandpour and Z. Bahmani, Uniformly invariant normed spaces, BIBECHANA, 10 (2014), 31-33. DOI: https://doi.org/10.3126/bibechana.v10i0.7555

E. Kreyszig, Introductory functional analysis with applications, John Wiley and Sons, Canada, 1978.

  • NA

Metrics

Metrics Loading ...

Published

01-01-2017

How to Cite

Batool Rostamzadeh Kasrineh. “Compactly Coinvariant Subspaces”. Malaya Journal of Matematik, vol. 5, no. 01, Jan. 2017, pp. 1-3, doi:10.26637/mjm501/001.

Issue

Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)

Section

Articles

License

Copyright (c) 2017 MJM

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC