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2.
In this paper, we study real Banach ✶ algebras systematically. We present the right form of Pták'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, this paper is a real analogue of Pták's work [1] in the complex case. Received February 22, 2000, Accepted March 14, 2000 相似文献
3.
On Certain Filters in Lattice Implication Algebras 总被引:5,自引:0,他引:5
OnCertainFiltersinLatticeImplicationAlgebrasLiuJun;XuYang(DepartmentofAppliedMathematics,SouthwestJiaotongUniversity,Chengdu,... 相似文献
4.
A. -R. K. Ramazanov 《Analysis Mathematica》1994,20(4):263-281
Получен аналог теоре мы Джексона о приближ ении полиномами в метрике Ф-вариации; для некото рых классов функций (в ыпуклых, конечной вариации, с заданным модулем неп рерывности) установл ено соотношение типа сла бой эквивалентности, которое связывает ме жду собой рациональн ые аппроксимации, в этой и равномерной метриках Даны оценкиε-энтропи и в метрике Ф-вариации классов функций с заданным мо дулем Ф-абсолютной непреры вности и с заданным мо дулем непрерывности. 相似文献
5.
Olympia Talelli 《Archiv der Mathematik》2007,89(1):24-32
We define a group G to be of type Φ if it has the property that for every
-module G, proj.
G < ∞ iff proj.
H G < ∞ for every finite subgroup H of G. We conjecture that the type Φ is an algebraic characterization of those groups G which admit a finite dimensional model for
, the classifying space for the family of the finite subgroups of G. We also conjecture that the type Φ is equivalent to spli being finite, where spli
is the supremum of the projective lengths of the injective
-modules. Here we prove certain parts of these conjectures.
The project is cofounded by the European Social Fund and National Resources–EPEAK II–Pythagoras.
Received: 21 June 2006 相似文献
6.
In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z∈C:|z|〈1} in C by Фn(f)(z)=(f(z1),√ f′(z1)z0), where z = (z1,z0) belongs to the unit ball Bn in Cn, z1∈U, z0 = (z2,...,zn) ∈ C^n-1. 相似文献
7.
Jia Yuting 《东北数学》1997,(1)
OntheGeneralizedVirasoro┐likeAlgebrasJiaYuting(贾雨亭)(DepartmentofMathematics,HebeiTeachersUniversity,Shijiazhuang,050016)Zhang... 相似文献
8.
Using the fixed point method, we prove the Hyers–Ulam stability of homomorphisms in complex Banach algebras and complex Banach Lie algebras and also of derivations on complex Banach algebras and complex Banach Lie algebras for the general Jensen-type functional equation f(α x + β y) + f(α x ? β y) = 2α f(x) for any \({\alpha, \beta \in \mathbb{R}}\) with \({\alpha, \beta \neq 0}\) . Furthermore, we prove the hyperstability of homomorphisms in complex Banach algebras for the above functional equation with α = β = 1. 相似文献
9.
Jian Lian CUI Department of Mathematical Sciences Tsinghua University Beijing P.R.China Department of Mathematics Shanxi Teachers University Linfen P.R.China Jin Chuan HOU Department of Mathematics Shanxi Teachers University Linfen P.R.China Department of Mathematics Shanxi University Taiyuan P.R.China 《应用数学学报(英文版)》2004,(4)
We show that every unital invertibility preserving linear map from a yon Neumann algebraonto a semi-simple Banach algebra is a Jordan homomorphism;this gives an affirmative answer to aproblem of Kaplansky for all von Neumann algebras.For a unital linear map Φ from a semi-simplecomplex Banach algebra onto another,we also show that the following statements are equivalent:(1)Φ is an homomorphism;(2)Φ is completely invertibihty preserving;(3)Φ is 2-invertibility preserving. 相似文献
10.
LetfbealinearmappingfromaBanachspaceXtoaBanachspaceY.Thentheseparatingspaceoffis(f)={y∈Y:thereexistsasequence(xn)inXwithxn0a... 相似文献
11.
We show that many Kadison–Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras. Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified. 相似文献
12.
We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures. 相似文献
13.
Wen Ming WU Li Guang WANG 《数学学报(英文版)》2007,23(3):491-496
14.
Fixed Points and Stability for Quadratic Mappings in β–Normed Left Banach Modules on Banach Algebras
The goal of the present paper is to investigate some new stability results by applying the alternative fixed point of generalized quadratic functional equation $$\begin{array}{ll}f\left(\sum\limits_{i=1}^{n}a_ix_i\right)+{\sum\limits_{i=1}^{n-1}}{\sum\limits_{j=i+1}^{n}}\left[f(a_ix_i+a_jx_j)+2f(a_ix_i-a_jx_j)\right]\\ \qquad \quad = (3n-2){\sum\limits_{i=1}^{n}}a^2_{i}f(x_{i})\end{array}$$ in β–Banach modules on Banach algebras, where ${a_{1},\dots,a_{n}\in \mathbb{Z}{\setminus}\{0\}}$ and some ${\ell\in\{1 , 2 ,\dots, n-1\},}$ a ? ?≠ ±1 and a n ?=?1, where n is a positive integer greater or at least equal to two. 相似文献
15.
Bodo Pareigis 《Applied Categorical Structures》1998,6(2):151-175
The category of Yetter—Drinfeld modules
over a Hopf algebra K (with bijective antipode over a field k) is a braided monoidal category. If H is a Hopf algebra in this category then the primitive elements of H do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in
such that the set of primitive elements P(H) is a Lie algebra in this sense. Also the Yetter—Drinfeld module of derivations of an algebra A in
is a Lie algebra. Furthermore for each Lie algebra in
there is a universal enveloping algebra which turns out to be a Hopf algebra in
. 相似文献
16.
Rabanovich V. I. Samoilenko Yu. S. Strelets A. V. 《Ukrainian Mathematical Journal》2001,53(10):1673-1687
We investigate the presence of polynomial identities in the algebras Q
n, generated by n idempotents with the sum e (
and e is the identity of an algebra). We prove that Q
4,2 is an algebra with the standard polynomial identity F
4, whereas the algebras Q
4,, 2, and Q
n,, n 5, do not have polynomial identities. 相似文献
17.
Anna Skripka 《Integral Equations and Operator Theory》2008,62(2):247-267
Versions of the Birman-Schwinger principle for (relative) trace class perturbation problems of dissipative operators in a
semi-finite von Neumann algebra and self-adjoint operators affiliated with the algebra are obtained and applied in the study
of the spectral shift function.
相似文献
18.
Shengyong Pan 《Algebras and Representation Theory》2014,17(3):885-903
In this paper, we introduce a class of algebras called Φ-Cohen–Macaulay Auslander–Yoneda algebras with Φ an admissible set of ?, and construct derived equivalences between these Φ-Cohen–Macaulay Auslander–Yoneda algebras from a given derived equivalence. 相似文献
19.
Suppose that E and E′ denote real Banach spaces with dimension at least 2, that D $ \subseteq $ E and D′ $ \subseteq $ E′ are domains, that f: D → D′ is an (M,C)-CQH homeomorphism, and that D is uniform. The aim of this paper is to prove that D′ is a uniform domain if and only if f extends to a homeomorphism $\overline f :\overline D \to {\overline D ^\prime }$ and $\overline f $ is η-QM relative to ?D. This result shows that the answer to one of the open problems raised by Väisälä from 1991 is affirmative. 相似文献
20.
On Best Approximations from RS-sets in Complex Banach Spaces 总被引:2,自引:0,他引:2
ChongLI 《数学学报(英文版)》2005,21(1):31-38
The concept of an RS-set in a complex Banach space is introduced and the problem of best approximation from an RS-set in a complex space is investigated. Results consisting of characterizations, uniqueness and strong uniqueness are established, 相似文献