Equations which characterize inner product spaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

$C^{*}$-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 کامل

Functional Equations Related to Inner Product Spaces

and Applied Analysis 3 for all x1, . . . , x2n ∈ V if and only if the odd mapping f : V → W is Cauchy additive, that is, f ( x y ) f x f ( y ) , 2.2 for all x, y ∈ V . Proof. Assume that f : V → W satisfies 2.1 . Letting x1 · · · xn x, xn 1 · · · x2n y in 2.1 , we get nf ( x − x y 2 ) nf ( y − x y 2 ) nf x nf ( y ) − 2nf ( x y 2 ) , 2.3 for all x, y ∈ V . Since f : V → W is odd, 0 nf x nf ( y )...

متن کامل

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.

متن کامل

Atomic Systems in 2-inner Product Spaces

In this paper, we introduce the concept of family of local atoms in a 2-inner product space and then this concept is generalized to an atomic system. Besides, a characterization of an atomic system lead to obtain a new frame. Actually this frame is a generalization of previous works.

متن کامل

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 on this space.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1973

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1973-0318851-4