• Journal of applied mathematics & informatics
• /
• v.27 no.3_4
• /
• pp.541-555
• /
• 2009

The primary purpose of this paper is to prove the fuzzy version of Riesz theorem in n-normed linear space as a generalization of linear n-normed space. Also we study some properties of fuzzy n-norm and introduce a concept of fuzzy anti n-norm.

• Bulletin of the Korean Mathematical Society
• /
• v.38 no.4
• /
• pp.773-786
• /
• 2001

On the setting of the half-space of the Euclidean n-space, we consider harmonic Bergman spaces and we also study properties of the reproducing kernel. Using covering lemma, we find some equivalent quantities. We prove that if lim$ lim\limits_{i\rightarrow\infty}\frac{\mu(K_r(zi))}{V(K_r(Z_i))}$ then the inclusion function $I : b^p\rightarrow L^p(H_n, d\mu)$ is a compact operator. Moreover, we show that if f is a nonnegative continuous function in $L^\infty and lim\limits_{Z\rightarrow\infty}f(z) = 0, then T_f$ is compact if and only if f $\in$ $C_{o}$ (H$_{n}$ ).

• Communications of the Korean Mathematical Society
• /
• v.19 no.4
• /
• pp.715-720
• /
• 2004

Suppose X is a closed subspace of Z = ${({{\Sigma}^{\infty}}_{n=1}Z_{n})}_{p}$ (1 < p < ${\infty}$, dim $Z_{n}$ < ${\infty}$). We investigate an isometrically isomorphic embedding of L(X)/K(X) into L(X, Z)/K(X, Z), where L(X, Z) (resp. L(X)) is the space of the bounded linear operators from X to Z (resp. from X to X) and K(X, Z) (resp. K(X)) is the space of the compact linear operators from X to Z (resp. from X to X).

• Communications of the Korean Mathematical Society
• /
• v.13 no.1
• /
• pp.85-94
• /
• 1998

The purpose of this paper is to give sample characterizations of n-dimensional CR-submanifolds of (n-1) CR-semifolds of (n-1) CR-dimension immersed in a complex projective space $CP^{(n+p)/2}$ with Fubini-Study metric and we study an n-dimensional compact, orientable, minimal CR-submanifold of (n-1) CR-dimension in $CP^{(n+p)/2}$.

• Proceedings of the Korean Institute of Communication Sciences Conference
• /
• 1990.06a
• /
• pp.885-889
• /
• 1990

• Journal of the Korean Mathematical Society
• /
• v.24 no.2
• /
• pp.239-245
• /
• 1987

• Korean Journal of Mathematics
• /
• v.1
• /
• pp.33-39
• /
• 1993

• Kyungpook Mathematical Journal
• /
• v.12 no.1
• /
• pp.153-157
• /
• 1972

• Kyungpook Mathematical Journal
• /
• v.12 no.2
• /
• pp.219-224
• /
• 1972

• Communications of the Korean Mathematical Society
• /
• v.11 no.4
• /
• pp.997-1002
• /
• 1996

In this paper we extend the Zemanek's characterization of the Browder spectrum for a commuting n-tuple operators in $L(H)$ and show that if $T = (T_1, \cdots, T_n)$ is Browder then there exists an n-tuple $K = (K_1, \cdots, K_n)$ of compact operators and an invertible commuting n-tuple $(S_1, \cdots, S_n)$ for which $T = S + K$ and $S_i K_j = K_j S_i$ for all $1 \leq i, j \leq n$.