Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Bingren Li"'
Autor:
Bingren Li
The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator
Autor:
Bingren, Li, Jianwei, Zhao
Publikováno v:
Taiwanese Journal of Mathematics, 2006 Jan 01. 10(1), 65-73.
Externí odkaz:
https://www.jstor.org/stable/43833645
Autor:
Zhuomin Zhang, Xuemu Li, Zehua Peng, Xiaodong Yan, Shiyuan Liu, Ying Hong, Yao Shan, Xiaote Xu, Lihan Jin, Bingren Liu, Xinyu Zhang, Yu Chai, Shujun Zhang, Alex K.-Y. Jen, Zhengbao Yang
Publikováno v:
Nature Communications, Vol 14, Iss 1, Pp 1-11 (2023)
Abstract Piezoelectric biomaterials have attracted great attention owing to the recent recognition of the impact of piezoelectricity on biological systems and their potential applications in implantable sensors, actuators, and energy harvesters. Howe
Externí odkaz:
https://doaj.org/article/ab211e40bf7e4e35b5d239539a8879b9
Autor:
Shangping Liu, Bingren Li
Publikováno v:
Chinese Annals of Mathematics. 26:67-74
The functional dimension of countable Hilbert spaces has been discussed by some authors. They showed that every countable Hilbert space with finite functional dimension is nuclear. In this paper the authors do further research on the functional dimen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc09dfd62db9adc8d4bde06cc0d485ea
https://doi.org/10.1142/s0252959905000063
https://doi.org/10.1142/s0252959905000063
Autor:
Pingkwan Tam, Bingren Li
Publikováno v:
Acta Mathematica Sinica. 16:469-486
In this paper, we study real Banach ✶ algebras systematically. We present the right form of Ptak’s inequality [1,4] in the real case, and generalize the results of Vukman in [3] to the general case (algebras with or without an identity). Moreover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ffa3858419bf1d74b1bcba48616bb9e
https://doi.org/10.1007/s101140000062
https://doi.org/10.1007/s101140000062
Autor:
Bingren Li
Publikováno v:
Chinese Annals of Mathematics. 20:401-406
Tomita-Takesaki theory in the real case is considered. The author introduces the conception of a nondegenerate pair of closed subspaces in a real Hilbert space. Then a satisfactory real Tomita-Takesaki theory is obtained, and it seems to be a special
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdc3e45a46f75917ccbf39753ab7c9ac
https://doi.org/10.1142/s0252959999000461
https://doi.org/10.1142/s0252959999000461
Autor:
Yimin Yang, Bingren Li
Publikováno v:
Acta Mathematica Sinica. 15:455-470
In a finite dimensional real algebra, we define functional calculus for real functions. The analytic hypothesis is replaced by a differentiable hypothesis. High order differentibility is essentially necessary and sufficient to our discussions. Moreov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7935d6d8e637aec511902470f6373c7d
https://doi.org/10.1007/s10114-999-0079-z
https://doi.org/10.1007/s10114-999-0079-z
Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years. This authoritative collection is complementary to Western studies in this field,
Autor:
Bingren Li
Publikováno v:
Science in China Series A: Mathematics. 41:574-581
On a Borel bar space (E,B,-), the following concepts are introduced in a suitable way: measurable fields of real Hilbert spaces, real measurable fields of vectors, operators and Von Neumann (VN) algebras: ξ (⋅),a (⋅),M (⋅). Then a satisfactory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e53517eb2733d23b1df09c819e86c4e6
https://doi.org/10.1007/bf02876227
https://doi.org/10.1007/bf02876227