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Results on soft Hilbert spaces

Authors: YAZAR, M. I.; ARAS, C. G.; BAYRAMOV, S.;

Results on soft Hilbert spaces

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 (l) over tilde (2) space is given as an example for soft Hilbert spaces.

Country
Turkey
Keywords

Soft Sets, Soft Hilbert Spaces, soft sets;soft inner product spaces;soft Hilbert spaces., Soft Inner Product Spaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green