• 대한수학회지
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• 제53권4호
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• pp.847-868
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• 2016

Let M be an invariant subspace of $H^2$ over the bidisk. Associated with M, we have the fringe operator $F^M_z$ on $M{\ominus}{\omega}M$. It is studied the Fredholmness of $F^M_z$ for (generalized) zero based invariant subspaces M. Also ker $F^M_z$ and ker $(F^M_z)^*$ are described.

• 대한수학회보
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• 제49권2호
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• pp.235-247
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• 2012

We study sufficient conditions for function algebras generated by four smooth functions on a small closed bidisk near the origin in $\mathbb{C}$ to coincide with the space of continuous functions on the bidisk. This problem in one dimension has been studied by De Paepe and the second name author.

• 대한수학회보
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• 제54권4호
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• pp.1221-1228
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• 2017

We consider weighted Hardy spaces on bidisk ${\mathbb{D}}^2$ which generalize the weighted Bergman spaces $A^2_{\alpha}({\mathbb{D}}^2)$. Let z, w be coordinate functions and $T_{{\bar{z}}^N}_w$ Toeplitz operator with symbol $_{{\bar{z}}^N}_w$. In this paper, we study the reducing subspaces of $T_{{\bar{z}}^N}_w$ on the weighted Hardy spaces.

• 대한수학회지
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• 제49권1호
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• pp.139-151
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• 2012

In the previous paper, we gave a characterization of backward shift invariant subspaces of the Hardy space over the bidisk on which [${S_z}^n$, $S_w^*$] = 0 for a positive integer n ${\geq}$ 2. In this case, it holds that ${S_z}^n=cI$ for some $c{\in}\mathbb{C}$. In this paper, it is proved that if [$S_{\varphi}$, $S_w^*$] = 0 and ${\varphi}{\in}H^{\infty}({\Gamma}_z)$, then $S_{\varphi}=cI$ for some $c{\in}\mathbb{C}$.

• 대한수학회보
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• 제53권5호
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• pp.1471-1481
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• 2016

We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.

• 대한수학회보
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• 제52권5호
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• pp.1649-1660
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• 2015

In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator $T{_{z{^N_1{\bar{z}}^M_2}}$ on the Bergman space $A^2(\mathbb{D}^2)$, where N and M are positive integers.

• 호남수학학술지
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• 제29권4호
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• pp.511-521
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• 2007

Let S($z_1$, $z_2$) be a power series with operator coefficients such that multiplication by 5($z_1$, $z_2$) is a contractive transformation in the Hilbert space $\mathbf{H}_2$($\mathbb{D}^2$, C). In this paper we show that there exists a Hilbert space D($\mathbb{D}$,$\bar{S}$) which is the state space of extended canonical linear system with a transfer fucntion $\bar{S}$(z).

• 호남수학학술지
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• 제31권4호
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• pp.479-487
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• 2009

Let $S(z_1,z_2),\;S_1(z_1,z_2)$ and $S_2(z_1,z_2)$ be power series with operator coefficients such that $S_(z_1,\;z_2)=S_1(z_1,z_2)S_2(z_1,z_2)$. Assume that the multiplications by $S_1(z_1,z_2)$ and $S_2(z_1,z_2)$ are contractive transformations in H($\mathbb{D}^2,\;\mathcal{C}$). Then the factorizations of spaces $\mathcal{D}(\mathbb{D},\;\tilde{S})$ and $\mathcal{D}(\mathbb{D}^2,\mathcal{S})$ are well-behaved.

• Journal of Yeungnam Medical Science
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• 제10권1호
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• pp.135-143
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• 1993

Bacteroides fragilis의 임상 분리균주 45주의 cefaclor, ciprofloxacin, imipenem의 3종 항균제에 대한 감수성 검사를 기존의 한천 평판희석법과 최근 새로이 개발된 E-test (AB Biodisk, Slona, Sweden)법으로, brain heart infusion, Mueller-Hinton, Wilkins Chalgren 한천 배지 3종류를 사용하여 균의 최소발육 억제 농도 (MIC : Minimal Inhibitory Concentration)의 결과를 비교, 관찰하였으며 5종의 quinolone 제제 (ciprofloxacin, enoxacin, norfloxacin, ofloxacin, pefloxacin)에 대한 Bacteroides fragilis group 60주의 시험관내 감수성 검사를 한천 평판 희석법으로 실시하여 다음과 같은 결과를 얻었다. 한천 평판 희석법에서 관찰된 MIC를 기준으로 E-test MIC의 결과를 비교하면 실험균주 90.3%가 한천 평판희석법의 MIC (within${\pm}$1 dilution)와 일치하여 E-test가 B. fragilis의 항균제 감수성 검사법에 한 종류로 유용한 것으로 생각되며 사용된 배지에 따른 감수성상의 양상은 큰 차이를 관찰할 수 없었으며 B. gragilis의 항균제 감수성 검사용 기본 배지로 brain heart infusion배지와 Wilkins Chalgren배지는 적합하나 Mueller-Hinton배지는 부적합 한것으로 나타났다. Bacteroides fragilis group 60주에 대한 5종의 quinolone제제에 대한 감수성상은 ofloxacin을 제외한 약재에 대해 대부분 내성을 띄었으며 균종간의 감수성상의 두드러진 차이는 관찰되지 않았다.