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COMPACT INTERPOLATION ON AX = Y IN ALGL
강주호 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.3
In this paper the following is proved: Let L be a subspace lattice on a Hilbert space H and X and Y be operators acting on H. Then there exists a compact operator A in AlgL such that AX = Y if and only if sup {∥EY f∥ ∥EXf∥ : f ∈ H E ∈ L } = K < ∞ and Y is compact. Moreover, if the necessary condition holds, then we may choose an operator A such that AX = Y and ∥A∥ = K.
鑑賞敎育 指導方法에 關한 硏究 : 初等 音樂敎育을 中心으로 Centering around the Nusic education in the elementary School
강주호 원광대학교 교육대학원 1990 硏究論叢 Vol.1 No.-
This thesis paya attention to in structing Methods about the education of sppreciation, especialiy Centering around the Music education in the elementary school. The education of appreciation Setsits goal at incing Childrea's Musiciality by giving them a Chance to listen to good Musics and enhancing their cultures as Social beings by developing Sound abilites of appereciataion. In Q broad Sense, We Can Say that all developments of expressing abilities With Music and its instruction Start from the task of listeaing to Music. That is, to develop the Mind of feeling the beauty of music and That of being Moved by it is the very basis of all Mtsic eduction. in the appeciating of Music, first of all, the attitude or the habit of enjoying Music and grouding abilitioa of appreciation should be developed. Accordingly, the aim of Music education if to be attained by the betten and deeper appreciation. Like the above In this thesis, the instructing Methods about the education of appreciation could be described. The prisent write believes this thesis to be a help for the refinement of Childrea'a emotiona by being used effectively in the practical field of education.
강주호,황정주,김기숙 大邱大學校附設 基礎科學硏究所 1997 基礎科學硏究 Vol.14 No.1
In this paper, we show that weighted shift operators with certain weight sequences are power-regular and the power-regularity of weighted shift operators is preserved for the operator sum and product.
LIE IDEALS IN TRIDIAGONAL ALGEBRA ALGL∞
강주호 대한수학회 2015 대한수학회보 Vol.52 No.2
We give examples of Lie ideals in a tridiagonal algebra AlgL∞ and study some properties of Lie ideals in AlgL∞. We also investigate relationships between Lie ideals in AlgL∞. Let k be a fixed natural number. Let A be a linear manifold in AlgL∞ such that T(2k−1,2k) = 0 for all T ∈ A. Then A is a Lie ideal if and only if T(2k−1,2k−1) = T(2k,2k) for all T ∈ A.
Invertible Interpolation on AX = Y in AlgL
강주호 한국수학교육학회 2007 純粹 및 應用數學 Vol.14 No.3
Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satises the equationAX i = Yi, for i = 1, 2, ..., n. In this article, we showed the following : Let L be a subspace lattice on a Hilbert space H and let X and Y be operators in B(H). Then the following are equivalent:(1)sup.kE? Y fkkE? Xf k:f 2H ;E2L.< 1 , sup.kXf kkY fk:f 2 H.< 1andrange X = H =range Y .(2)There exists an invertible operatorA in AlgL such that AX = Y.
INTERPOLATION PROBLEMS FOR OPERATORS WITH CORANK IN ALGL
강주호 호남수학회 2012 호남수학학술지 Vol.34 No.3
Let L be a subspace lattice on a Hilbert space H. And let X and Y be operators acting on a Hilbert space H. Let sp(x) =fx : 2 Cg for any x 2 H. Assume that H = range X sp(h)for some h 2 H and < h;E?Xf >= 0 for each f 2 H and E 2 L. Then there exists an operator A in AlgL such that AX = Y if and only if sup kE?Y fk kE?Xfk : f 2 H; E 2 L = K < 1. Moreover, if the nec-essary condition holds, then we may choose an operator A such that AX = Y and kAk = K.
SELF-ADJOINT INTERPOLATION ON AX=Y IN A TRIDIAGONAL ALGEBRA ALGL
강주호,이상기 호남수학회 2014 호남수학학술지 Vol.36 No.1
Given operators X and Y acting on a separable Hilbert space H, an interpolating operator is a bounded operator A such that AX=Y. In this article, we investigate self-adjoint interpolation problems for operators in a tridiagonal algebra:Let L be a subspace lattice acting on a separable complex Hilbert space H and let X=(xij) and Y=(yij) be operators acting on H. Then the following are equivalent: (1) There exists a self-adjoint operator A=(aij) in Alg L such that AX=Y. (2) There is a bounded real sequence {αn} such that yij=αixij for i,j ∈ N.