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On bases in Banach spaces

100%

Bartoszyński T., Džamonja M., Halbeisen L., Murtinová E., Plichko A.

Studia Mathematica

2005

tom 170

nr 2

147-171

We investigate various kinds of bases in infinite-dimensional Banach spaces. In particular, we consider the complexity of Hamel bases in separable and non-separable Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic, whereas there are non-separable Hilbert spaces which have a discrete and closed Hamel basis. Further we investigate the existence of certain complete minimal systems in $ℓ_{∞}$ as well as in separable Banach spaces.

Combinatorial aspects of measure and category

84%

Bartoszyński T.

Fundamenta Mathematicae

1987

tom 127

nr 3

225-239

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Studia Mathematica

2 Bartoszyński T.

1 Džamonja M.

1 Halbeisen L.

1 Murtinová E.

1 Plichko A.

1 2005

1 1987

Wyniki wyszukiwania

On bases in Banach spaces

Combinatorial aspects of measure and category