Invariant subspaces for some operators on locally convex spaces

Edvard Kramar

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 4, page 635-644
  • ISSN: 0010-2628

Abstract

top
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.

How to cite

top

Kramar, Edvard. "Invariant subspaces for some operators on locally convex spaces." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 635-644. <http://eudml.org/doc/248106>.

@article{Kramar1997,
abstract = {The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.},
author = {Kramar, Edvard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {invariant subspace; locally convex space; locally bounded operator; universally bounded operator; compact operator; invariant subspace; locally convex space; compact operator},
language = {eng},
number = {4},
pages = {635-644},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Invariant subspaces for some operators on locally convex spaces},
url = {http://eudml.org/doc/248106},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Kramar, Edvard
TI - Invariant subspaces for some operators on locally convex spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 4
SP - 635
EP - 644
AB - The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.
LA - eng
KW - invariant subspace; locally convex space; locally bounded operator; universally bounded operator; compact operator; invariant subspace; locally convex space; compact operator
UR - http://eudml.org/doc/248106
ER -

References

top
  1. Brown S., Connections between an operator and a compact operator that yields hyperinvariant subspaces, J. Oper. Theory 1 (1979), 117-121. (1979) MR0526293
  2. Chilana A.K., Invariant subspaces for linear operators in locally convex spaces, J. Lond. Soc. 2 (1970), 493-503. (1970) Zbl0198.45703MR0423095
  3. Edwards R.E., Functional Analysis, Theory and Applications, Holt, Rinehart and Winston, New York, 1965. Zbl0189.12103MR0221256
  4. Floret K., Wloka J., Einführung in die Theorie der lokalkonvexen Räume, Lectures Notes in Mathematics 56, Springer-Verlag, Berlin-Heidelberg-New York, 1968. Zbl0155.45101MR0226355
  5. Fong C.K., Nordgren E.A., Radjabalipour M., Radjavi H., Rosenthal P., Extensions of Lomonosov's invariant subspace theorem, Acta Sci. Math. 41 (1979), 55-62. (1979) Zbl0413.47004MR0534499
  6. Joseph G.A., Boundedness and completeness in locally convex spaces and algebras, J. Austral. Math. Soc. 24 (Series A) (1977), 50-63. (1977) Zbl0367.46045MR0512300
  7. Kalnins D., Sous-espaces hyperinvariant d'un operateur compact, C.R. Acad. Sc. Paris, ser. A 288 (1979), 115-116. (1979) MR0524763
  8. Kim H.W., Moore R., Pearcy C.M., A variation of Lomonosov theorem, J. Oper. Theory 2 (1979), 131-140. (1979) MR0553868
  9. Köthe G., Topological vector spaces II, N. York, Heidelberg, Berlin, 1979. MR0551623
  10. Lerer L.E., K spektraljnoj teorii ograničenih operatorov v lokalno vipuklom prostranstve, Matem. Issled. 2 (1967), 206-214. (1967) 
  11. Moore R.T., Banach algebras of operators on locally convex spaces, Bull. Am. Math. Soc. 75 (1969), 68-73. (1969) Zbl0189.13302MR0236723

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.