Frames in 2-inner Product Spaces
نویسندگان
چکیده مقاله:
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.
منابع مشابه
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$C^{*}$-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 کاملRiesz Theorems in 2-inner Product Spaces
In this paper we describe the proof of ’Riesz Theorems’ in 2inner product spaces. The main result holds only for a b-linear functional but not for a bilinear functional. AMS Mathematics Subject Classification (2010): 41A65, 41A15
متن کاملSome Results on 2-inner Product Spaces
We onsider ”Riesz Theorem” in the 2-inner product spaces and give some results in this field. Also, we give some characterizations about 2-inner product spaces in b-approximation theory. AMS Mathematics Subject Classification (2000): 41A65, 41A15
متن کاملWOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES
The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions. Woven frames play a crucial role in signal preprocessing and distributed data processing. Motivated by these facts, we have investigated the tensor product of woven frames and presented some of their properties. Besides...
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 کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 8 شماره None
صفحات 123- 130
تاریخ انتشار 2013-10
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023