«Inner product»
۱۰٬۰۴۸ نتیجهOrthogonality preserving mappings on inner product C* -modules
Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings th
fuzzy inner product and fuzzy norm of hyperspaces
we introduce and study fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. in this regard by considering the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formu
A Comparative Study of Fuzzy Inner Product Spaces
In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm and the other is based on Bag and Samanta's fuzzy norm. Also we show that, considering a fuzzy inner product space, how one can construct another kind of
Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces
We introduce and study fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. In this regard by considering the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formu
$C^{*}$-semi-inner product spaces
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then stu
Frames in 2-inner Product Spaces
In this paper, we introduce the notion of a frame in a 2- inner product space and give some characterizations. These frames can be considered as a usual frame in a Hilbert space, so they share many useful properties with frames.
Secure Pairing-Free IBE and CP-ABE from Inner-Product Functional Encryption
The potential of Attribute-Based Encryption (ABE) in the context of IoT has driven researchers to propose pairing-free ABE schemes that are suitable for resource-constrained devices. Unfortunately, many of these schemes turned out to be insecure. This fact reinforces the view of
On the Fourier analysis of quasi-inner product C*-module-valued functions on LCA groups
Given a locally compact abelian group G and a quasi-inner product A-module (M, $\phi$) with $\phi$ a positive sesquilinear map on M, we introduce the Fourier transform for the Bochner integrable M-valued functions on G and investigate some of its properties including a Parseval t
Variational Inequalities on 2-Inner Product Spaces
We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is
On the transcendence of certain Petersson inner products
We show that for all normalized Hecke eigenforms $f$ with weight one and of CM type, the number $(f,f)$ where $(\cdot, \cdot )$ denotes the Petersson inner product, is a linear form in logarithms and hence transcendental.