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A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE
PROJECTIVE SPACE OUTER AUTOMORPHISM
2015/7/14
The latter two descriptions do
not distinguish any of the six points. Of course, these descriptions are equivalent to the
traditional one (x1.4) there is after all only one nontrivial outer automor...
Average Number of Lattice Points in a Disk
lattice points Weyl asymptotics Bessel function
2012/6/29
The difference between the number of lattice points in a disk of radius $\sqrt{t}/2\pi$ and the area of the disk $t/4\pi$ is equal to the error in the Weyl asymptotic estimate for the eigenvalue count...
Fixed Points Theorems of Ordered Contractive Maps on Noncommutative Banach spaces
Fixed point Order contractive map Noncommutative Banach space
2011/10/26
The paper introduces the concept of noncommutative Banach spaces and obtains several fixed point theorems for continuous or discontinuous ordered contractive maps in ordered noncommutative Banach spac...
Common fixed points theorem for two multivalued mappings in cone metric spaces
functional analysis common fixed point non normal cone multivalued mapping cone metric spaces
2011/10/20
In this paper, a new generalized contractive condition is introduced in metric space. By the condition and without the normality of the cone, the existence of common fixed points of multivalued mappin...
Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself
Riemann zeta-function Jacob's ladders Classical Analysis and ODEs
2011/9/21
Abstract: It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on...
Jordan higher all-derivable points in triangular algebras
Jordan higher all-derivable point triangular algebra Jordan higher derivable linear mapping at G
2011/9/9
Abstract: Let ${\mathcal{T}}$ be a triangular algebra. We say that $D=\{D_{n}: n\in N\}\subseteq L({\mathcal{T}})$ is a Jordan higher derivable mapping at $G$ if $D_{n}(ST+TS)=\sum_{i+j=n}(D_{i}(S)D_{...
Characterizations of all-derivable points in nest algebras
All-derivable point nest algebra derivable linear mapping at G
2011/9/1
Abstract: Let $\mathcal{A}$ be an operator algebra on a Hilbert space. We say that an element $G\in {\mathcal{A}}$ is an all-derivable point of ${\mathcal{A}}$ if every derivable linear mapping $\phi$...
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Exchange perverse weight filtration Hilbert schemes points of two surfaces
2011/1/21
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bun...
ASYMPTOTIC OF EIGENVALUES OF THE $p$-LAPLACE OPERATOR AND LATTICE POINTS
$p$-Laplacian eigenvalues lattice points
2007/12/12
In this work we study the spectral counting function for the $p$-Laplace operator in one dimension. We show the existence of a two-term Weyl-type asymptote. The method of proof is rather elementary, b...
Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
continuous selection collectively fixed point $FC$-space
2007/12/11
Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-...