# Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators

T. Alvarez; R. Cross; A. Gouveia

Studia Mathematica (1995)

- Volume: 113, Issue: 3, page 283-298
- ISSN: 0039-3223

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topAlvarez, T., Cross, R., and Gouveia, A.. "Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators." Studia Mathematica 113.3 (1995): 283-298. <http://eudml.org/doc/216175>.

@article{Alvarez1995,

abstract = {Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.},

author = {Alvarez, T., Cross, R., Gouveia, A.},

journal = {Studia Mathematica},

keywords = {unbounded linear operators between normed spaces; weakly compact; weakly completely continuous; unconditionally converging operators; weak compactness},

language = {eng},

number = {3},

pages = {283-298},

title = {Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators},

url = {http://eudml.org/doc/216175},

volume = {113},

year = {1995},

}

TY - JOUR

AU - Alvarez, T.

AU - Cross, R.

AU - Gouveia, A.

TI - Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators

JO - Studia Mathematica

PY - 1995

VL - 113

IS - 3

SP - 283

EP - 298

AB - Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.

LA - eng

KW - unbounded linear operators between normed spaces; weakly compact; weakly completely continuous; unconditionally converging operators; weak compactness

UR - http://eudml.org/doc/216175

ER -

## References

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