Classes of Semi-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

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

Numerical Range of Two Operators in Semi-Inner Product Spaces

and Applied Analysis 3 was studied by Verma 14 . He defined the numerical range VL T of a nonlinear operator T , as VL T : { Tx, x [ Tx − Ty, x − y ‖x‖ ∥x − y∥2 : x, y ∈ D T , x / y } . 1.3 He used this concept to solve the operator equation Tx−λx y, where T is a nonlinear operator. This paper is concerned with the numerical range in a Banach space. Nanda 15 studied the numerical range for two ...

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: Transactions of the American Mathematical Society

سال: 1967

ISSN: 0002-9947

DOI: 10.2307/1994599