# On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²

Studia Mathematica (1975)

- Volume: 54, Issue: 2, page 149-159
- ISSN: 0039-3223

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topOvsepian, R., and Pełczyński, A.. "On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²." Studia Mathematica 54.2 (1975): 149-159. <http://eudml.org/doc/217975>.

@article{Ovsepian1975,

author = {Ovsepian, R., Pełczyński, A.},

journal = {Studia Mathematica},

language = {eng},

number = {2},

pages = {149-159},

title = {On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²},

url = {http://eudml.org/doc/217975},

volume = {54},

year = {1975},

}

TY - JOUR

AU - Ovsepian, R.

AU - Pełczyński, A.

TI - On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²

JO - Studia Mathematica

PY - 1975

VL - 54

IS - 2

SP - 149

EP - 159

LA - eng

UR - http://eudml.org/doc/217975

ER -

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- Paolo Terenzi, Every separable Banach space has a bounded strong norming biorthogonal sequence which is also a Steinitz basis
- Vladimír Müller, Wiesław Żelazko, $B\left(X\right)$ is generated in strong operator topology by two of its elements
- S. Dilworth, Maria Girardi, W. Johnson, Geometry of Banach spaces and biorthogonal systems

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