Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces
Commentationes Mathematicae Universitatis Carolinae (1999)
- Volume: 40, Issue: 1, page 107-119
- ISSN: 0010-2628
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topŞerb, Ioan. "Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces." Commentationes Mathematicae Universitatis Carolinae 40.1 (1999): 107-119. <http://eudml.org/doc/248376>.
@article{Şerb1999,
abstract = {Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given. In this connection we define the rectangular modulus $\mu _\{_X\}$ of the normed space $X$. The values of the rectangular modulus at some noteworthy points are well-known constants of $X$. Characterizations (involving $\mu _\{_X\})$ of inner product spaces of dimension $\ge 2$, respectively $\ge 3$, are given and the behaviour of $\mu _\{_X\}$ is studied.},
author = {Şerb, Ioan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {characterizations of inner product spaces; orthogonality; moduli of Banach spaces; inner product spaces; orthogonality; moduli of Banach spaces},
language = {eng},
number = {1},
pages = {107-119},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces},
url = {http://eudml.org/doc/248376},
volume = {40},
year = {1999},
}
TY - JOUR
AU - Şerb, Ioan
TI - Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 1
SP - 107
EP - 119
AB - Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given. In this connection we define the rectangular modulus $\mu _{_X}$ of the normed space $X$. The values of the rectangular modulus at some noteworthy points are well-known constants of $X$. Characterizations (involving $\mu _{_X})$ of inner product spaces of dimension $\ge 2$, respectively $\ge 3$, are given and the behaviour of $\mu _{_X}$ is studied.
LA - eng
KW - characterizations of inner product spaces; orthogonality; moduli of Banach spaces; inner product spaces; orthogonality; moduli of Banach spaces
UR - http://eudml.org/doc/248376
ER -
References
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