• 대한수학회보
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• 제21권2호
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• pp.91-95
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• 1984

Let D$^{p}$ be the space of distributions of $L^{p}$-growth and S the space of tempered destributions in $R^{n}$: D$^{p}$, 1.leq.P.leq..inf., is the dual of the space $D^{p}$ which we discribe later. We denote by O$_{c}$(S:S') the space of convolution operators in S. In [8] S. Sznajder and Z. Zielezny proved the following necessary conditions for convolution operators in O$_{c}$(S:S) to be solvable in S.

• 대한수학회보
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• 제52권5호
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• pp.1579-1586
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• 2015

In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y, equipped with the uniform convergence topology.

• 대한수학회보
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• 제42권2호
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• pp.387-396
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• 2005

In the setting of the half-plane of the complex plane, we introduce a modified reproducing kernel and we show that for $r>-1/2,\;B^{1,r}-cancellation$ property holds and the Bloch space is the dual space of $B^{1,r}$.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2003년도 추계학술대회 논문집(II)
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• pp.372-375
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• 2003

Rail station premise's unused land speaks unused space long period among that is station porter underwear space. Also, will may see that two is also unused land if is operated as inefficient occupying a lot of spaces unnecessarily. These space have used by profit making business and station development putting first past. But, necessity of more active business effort is brought ill efficiency side of land. Unused land's efficient practical use is method that can increase railroad property. Therefore, in this study, define shortly about composition of reciprocal space, and presents unused land's practical use plan in station.

• East Asian mathematical journal
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• 제24권1호
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• pp.57-65
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• 2008

The approximate solvability of a generalized system for non-linear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.

• 대한수학회지
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• 제39권3호
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• pp.387-395
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• 2002

In [11] Kim obtained fixed point theorems for maps defined on some “locally G-convex”subsets of a generalized convex space. Theorem 2 in Kim's article determines us to introduce, in this paper, the notion of K-G-convex space. In this framework we obtain fixed point theorems, section properties and minimax inequalities.

• 호남수학학술지
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• 제30권1호
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• pp.147-164
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• 2008

In the setting of the half-plane of the complex plane, we show that for r > $-{\frac{1}{2}}$, the dual space of the weighted Bergman spaces $B^{1,r}$ is the Bloch space and we introduce some operators. We also study Toeplitz and Hankel operators and we find some characterization of Hankel operators.

• 충청수학회지
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• 제24권1호
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• pp.19-34
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• 2011

A bounded linear operator T on a complex Banach space X is said to have property (I) provided that T has Bishop's property (${\beta}$) and there exists an integer p > 0 such that for a closed subset F of ${\mathbb{C}}$ ${X_T}(F)={E_T}(F)=\bigcap_{{\lambda}{\in}{\mathbb{C}}{\backslash}F}(T-{\lambda})^PX$ for all closed sets $F{\subseteq}{\mathbb{C}}$, where $X_T$(F) denote the analytic spectral subspace and $E_T$(F) denote the algebraic spectral subspace of T. Easy examples are provided by normal operators and hyponormal operators in Hilbert spaces, and more generally, generalized scalar operators and subscalar operators in Banach spaces. In this paper, we prove that if T has property (I), then the quasi-nilpotent part $H_0$(T) of T is given by $$KerT^P=\{x{\in}X:r_T(x)=0\}={\bigcap_{{\lambda}{\neq}0}(T-{\lambda})^PX$$ for all sufficiently large integers p, where ${r_T(x)}=lim\;sup_{n{\rightarrow}{\infty}}{\parallel}T^nx{\parallel}^{\frac{1}{n}}$. We also prove that if T has property (I) and the spectrum ${\sigma}$(T) is finite, then T is algebraic. Finally, we prove that if $T{\in}L$(X) has property (I) and has decomposition property (${\delta}$) then T has a non-trivial invariant closed linear subspace.

• 한국실내디자인학회논문집
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• 제22권3호
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• pp.108-116
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• 2013

This study has the purpose to review the way of experience element and property of space design appearing in vocational experience space and accumulate basic study material for children's vocational experience space and build systematic and specialized modules. Analysing the marketing elements of experience space through pilot research to arrange frame of analysis, and in a determined range, experimental marketing's property appearing in children's vocational experience center is analysed. This researcher analysed experimental displaying space's function of recognition, emotional, behavior, sense marketing and experimental marketing induced from pilot research on space design expressive elements of experimental marketing when it is applied to spaces through the frame of analysis with the combination of total 8 kind's experience display space function such as investigative, conceptional, aesthetic, entertaining, logical, relative, participating, and comprehensive experience based on 5 vocational experience spaces located in Seoul and Gyeonggi, opened after 2010, being operated at present with more than 500 pyeong (about 1,650 square meter) and targeted for children, after this researcher visited the site directly to make check list with the frame of analysis together with the staff and administrator in charge of vocational experience education. As a conclusion, vocational experience center is a space of edutainment helping children experience various profession more easily to find their interest and to bring up their dream. By analysing current vocational experience center through the element called experimental marketing, current status of vocational experience center could be known. the experience itself in vocational experience center becomes a merchandise. Instead of mere experience, so as to get professional experience and new information, new experiences should be provided by incessant variation and development. This study is to build basic research data for children's vocational experience space, however not only drawing specialty of vocational experience center through the connection of enterprises based on the contents arranged above but also systematic and specialized modules are expected to be built in next researches.

• 충청수학회지
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• 제36권2호
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• pp.99-105
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• 2023

In this paper we study some topological modes of recurrent sets of linear homeomorphisms of a finite-dimensional topological vector space. More precisely, we show that there are no chain transitive linear homeomorphisms of a finite-dimensional Banach space having the shadowing property. Then, we give examples to illustrate our results.