Title of article :
RESULTS ON SOFT HILBERT SPACES
Author/Authors :
YAZAR, M. I Department of Mathematics and Science Education - Karamanoglu Mehmetbey University - Karaman, Turkey , ARAS, C. G Department of Mathematics - Kocaeli University - Kocaeli, Turkey , BAYRAMOV, S Department of Algebra and Geometry - Baku State University - Baku, Azerbaican
Abstract :
Molodtsov [6] introduced the notion of soft set which can be considered as
a new mathematical approach for vagueness. Das and Samanta [8] first defined the soft
vector space and soft norm. Yazar and et al. [9] defined the soft vector space by using the
concept of soft point given in [4, 5] and introduced the soft normed spaces in a new point
of view. In the present paper, We give some properties of soft inner product spaces and
present some examples for soft inner product spaces. Soft Hilbert space is introduced
and some related properties are investigated. Finally, soft ˜`2 space is given as an example
for soft Hilbert spaces.
Keywords :
soft sets , soft inner product spaces , soft Hilbert spaces
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
