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41.
Ali Zamani Mohammad Sal Moslehian Mao-Ting Chien Hiroshi Nakazato 《Linear and Multilinear Algebra》2013,61(11):2147-2158
ABSTRACTWe present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff–James orthogonality for Hilbert space operators. Moreover, we discuss the connection between norm-parallelism to the identity operator and an equality condition for the Davis–Wielandt radius. Some other related results are also discussed. 相似文献
42.
Anna Betiuk-Pilarska 《Journal of Mathematical Analysis and Applications》2011,382(1):127-131
Estimates for the James constant for various norms in real interpolation spaces for finite families of Banach spaces are given. As a corollary it is shown that if a family contains at least one space which is uniformly nonsquare, then the interpolation space is uniformly nonsquare. 相似文献
43.
Christian Sichau 《Physics in Perspective (PIP)》2006,8(3):236-254
Based upon a comparison of the viscosity experiments of James Clerk Maxwell (1831–1879) and Oskar Emil Meyer (1834–1909) in
the 1860s, I argue that mathematical theory plays a significant role in both aspects of experimental practice, the design
and construction of an experimental apparatus and the transformation of the observed experimental data into the value of a
physical quantity. I argue further that Maxwell’s and Meyer’s evaluation of each other’s theoretical and experimental work
depended significantly on the mathematical tools they employed in their theories. 相似文献
44.
Lawrence Badash 《Physics in Perspective (PIP)》2005,7(2):138-149
Social responsibility in science has a centuries-long history, but it was such a minor thread that most scientists were unaware of the concept. Even toward the conclusion of the Manhattan Project, which produced the first nuclear weapons, only a handful of its participants had some reservations about use of a weapon of mass destruction. But the explosions over Hiroshima and Nagasaki not only made society more aware of the importance of science, they made scientists more aware of their responsibility to society. I describe the development of the concept of social responsibility and its appearance among American scientists both before and after the end of World War II.Expanded version of a talk in Hiroshima, Japan,August 10, 2003.Lawrence Badash is Professor Emeritus of History of Science at the University of California, Santa Barbara. 相似文献
45.
In this paper, we consider the following problem about the James constant: When does the equality J(X*) = J(X) hold for a Banach space X ? It is known that the James constant of a Banach space does not coincide with that of its dual space in general. In fact, we already have counterexamples of two-dimensional normed spaces that are equipped with either symmetric or absolute norms. However,we show that if the norm on a two-dimensional space X is both symmetric and absolute, then the equality J(X*) = J(X) holds. This provides a global answer to the problem in the two-dimensional case. 相似文献
46.
Sean F. Johnston 《Physics in Perspective (PIP)》2006,8(4):451-465
I trace the history of the physical and applied sciences, and particularly physics, in Glasgow. Among the notable individuals
I discuss are Joseph Black (1728–1799), James Watt (1736–1819), William John Macquorn Rankine (1820–1872), William Thomson,
Lord Kelvin (1824–1907), John Kerr (1824–1907), Frederick Soddy (1877–1956), John Logie Baird (1888–1946), and Ian Donald
(1910–1987), as well as physics-related businesses.The locations, centering on the city center and University of Glasgow,
include sites both recognizable today and transformed from past usage, as well as museums and archives related to the history
and interpretation of physics. 相似文献
47.
Jaume Navarro 《Physics in Perspective (PIP)》2006,8(1):64-82
In the 1920s and early 1930s the Cavendish Laboratory in Cambridge was preeminent in experimental research on radioactivity
and nuclear physics, with theoretical physics playing a subsidiary role in guiding, but not determining the course of experimental
research. Soon after Wolfgang Pauli (1900–1958) proposed his neutrino hypothesis in 1930 to preserve conservation of energy
and momentum in beta decay, experiments – the first of their kind – were carried out in the Cavendish Laboratory to detect
Pauli’s elusive particle, but they were abandoned in 1936. I trace these early attempts and suggest reasons for their abandonment,
which may contribute to an understanding of the complex way in which theoretical entities are accepted by physicists. 相似文献
48.
Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings
B. Gavira 《Journal of Mathematical Analysis and Applications》2008,339(1):680-690
We show some geometric conditions on a Banach space X concerning the modulus of smoothness, the coefficient of weak orthogonality, the coefficient R(a,X), the James constant and the Jordan-von Neumann constant, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results and give affirmative answers to some open questions. 相似文献
49.
50.
Emanuele Casini 《Journal of Mathematical Analysis and Applications》2008,346(1):177-182
We present relations between the weakly convergent sequence coefficient of a Banach space and other coefficients. Some estimates are sharp. 相似文献