On the Bombieri Inequality in Inner Product Spaces
نویسنده
چکیده
New results related to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
منابع مشابه
THE HYPO-EUCLIDEAN NORM OF AN n−TUPLE OF VECTORS IN INNER PRODUCT SPACES AND APPLICATIONS
The concept of hypo-Euclidean norm for an n−tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Upper bounds via the BoasBellman [1]-[3] and Bombieri [2] type inequalities are provided. Applications for n−tuples of bounded linear operators defined on Hilbert spaces are also given.
متن کامل$C^{*}$-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 study bounded linear operators on $C^{*}$-semi-inner product spaces.
متن کاملSOME PROPERTIES OF FUZZY HILBERT SPACES AND NORM OF OPERATORS
In the present paper we define the notion of fuzzy inner productand study the properties of the corresponding fuzzy norm. In particular, it isshown that the Cauchy-Schwarz inequality holds. Moreover, it is proved thatevery such fuzzy inner product space can be imbedded in a complete one andthat every subspace of a fuzzy Hilbert space has a complementary subspace.Finally, the notions of fuzzy bo...
متن کاملA 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 on this space.
متن کاملNORM AND INNER PRODUCT ON FUZZY LINEAR SPACES OVER FUZZY FIELDS
In this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008