• Bulletin of the Korean Mathematical Society
• /
• v.43 no.4
• /
• pp.747-753
• /
• 2006

We say operators A, B on Hilbert space satisfy Fuglede-Putnam theorem if AX = X B for some X implies $A^*X=XB^*$. We show that if either (1) A is p-hyponormal and $B^*$ is a class y operator or (2) A is a class y operator and $B^*$ is p-hyponormal, then A, B satisfy Fuglede-Putnam theorem.

• The KIPS Transactions:PartD
• /
• v.9D no.1
• /
• pp.75-80
• /
• 2002

Putnam develops SLIM (Software LIfecycle Management) model based upon the assumption that the manpower utilization during software project development is followed by a Rayleigh distribution. To obtain the manpower distribution, we have to be estimate the total development effort and difficulty ratio parameter. We need a way to accurately estimate these parameters early in the requirements and specification phase before investment decisions have to be made. Statistical tests show that system attributes are highly correlation (redundant) so that Putnam discards one and get a parameter estimator from the other attributes. But, different statistical method has different system attributes and presents different performance. To select the principle system attributes, this paper uses the principle component analysis (PCA) instead of Putnam's method. The PCA's results improve a 9.85 percent performance more than the Putnam's result. Also, this model seems to be simple and easily realize.

• Kyungpook Mathematical Journal
• /
• v.46 no.4
• /
• pp.497-502
• /
• 2006

An asymmetric Fuglede-Putnam theorem for $p$-hyponormal operators and class ($\mathcal{Y}$) is proved, as a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel.

• Journal of Korean Philosophical Society
• /
• v.120
• /
• pp.109-130
• /
• 2011

The main purpose of this paper is to examine Putnam's recent conception of ethics, and show that it gives rise to an ineluctable incoherence with his rationalism. This suggests that Putnam's philosophy has to be far more naturalized to make his new position cogent. Putnam recently has shown some explicit turn toward pragmatism a la James and Dewey under the name of "pragmatic pluralism." Putnam says that traditional ethics has presupposed some form of ontology in one way or another, which he sees is based on an unnecessary pursuit of a misleading conception of objectivity. Putnam tries to get rid of any notion of ontology in ethics, whereby we can talk about a third view which runs between traditional objectivism and nihilistic relativism. In this sense, he defines pragmatism as "fallibilism cum antiskepticism." Putnam's suggestion makes a good sense as far as it goes. However, his continuous transition toward pragmatism is critically impeded by his own adhesion to the normative conception of "reason." In this light, Putnam himself is wobbling between Kant and Dewey, just as he describes ethics is. Dewey's pragmatism does not have recourse to the very notion of reason to secure objectivity necessary to make sense of moral experience. Putnam needs to be far more naturalized to reach cogently where he espouses, and this can be done only by renouncing the normative conception of reason.

• The Pure and Applied Mathematics
• /
• v.10 no.4
• /
• pp.273-277
• /
• 2003

The Fuglede-Putnam Theorem is that if A and B are normal operators and X is an operator such that AX = XB, then $A^{\ast}= X. In this paper, we show that if A is $\omega$-hyponormal and $B^{\ast}$ is invertible $\omega$-hyponormal such that AX = XB for a Hilbert-Schmidt operator X, then $A^{\ast}X = XB^{\ast}$.

• Bulletin of the Korean Mathematical Society
• /
• v.35 no.2
• /
• pp.319-324
• /
• 1998

The equation AX = BX implies $A^*X\;=\;B^X$ when A and B are normal (Fuglede-Putnam theorem). In this paper, the hypotheses on A and B can be relaxed by usin a Hilbert-Schmidt operator X: Let A be p-quasihyponormal and let $B^*$ be invertible p-quasihyponormal such that AX = XB for a Hilbert-Schmidt operator X and $|||A^*|^{1-p}||{\cdot}|||B^{-1}|^{1-p}||\;{\leq}\;1$.Then $A^*X\;=\;XB^*$.

• East Asian mathematical journal
• /
• v.14 no.1
• /
• pp.21-26
• /
• 1998

The Fulgede-Putnam theorem asserts as if A and Bare normal operators and X is an operator such that AX=XB, then A*X=XB*. In this paper, we show that if A is k-quasihyponormal and B* is invertible k-quasihyponormal such that AX=XB for a Hilbert-Schmidt operator X, then A*X=XB*.

• International Commerce and Information Review
• /
• v.11 no.3
• /
• pp.363-390
• /
• 2009

This study investigates the role of private participation in FTA Negotiation in case of US, Mexico and Japan. We utilize Putnam(1988)'s two stage negotiation model, Schelling Conjecture and Principal-Agent(P-A) theory to understand the role of private sector in FTA Negotiation. Those theories are useful to understand the behavior and interaction of key players such as private sector, congress and government in FTA negotiation. Putnam(1988)'s two stage negotiation model divides the FTA negotiation process into two processes: the external negotiation with foreign country and domestic negotiation with domestic interest group. Principal-Agent(P-A) theory provides the theoretical foundation of Putnam's two stage negotiation model, which is that principal's interest is not identical to the interest of Agent. We showed that the private sector and congress play an important role in FTA negotiation in United States. In case of Mexico, the private sector and government occupy the dominant position in FTA negotiation. In particular, the cooperation of industry and government has been successfully established via COECE in Mexico. In contrast to these countries, the role of private participation in trade policy is relatively low in Japan and Korea.

• The Journal of Information Technology and Database
• /
• v.7 no.2
• /
• pp.47-59
• /
• 2000

In this paper, we analyze the applicability of a general optimization algorithm to a database optimization problem. The index selection problem Is the problem to choose a set of indexes for a database in a way that the cost to process queries in the given workload is minimized subject to a given storage space restriction for storing indexes. The problem is well known in database research fields, and many optimization and/or heuristic algorithms have been proposed. Our work differs from previous research in that we formalize the problem in the form of non-linear Integer Programming model, and investigate the feasibility and applicability of a general purpose optimization algorithm, called OPBDP, through experiments. We implemented algorithms to generate workload data sets and problem instances for the experiment. The OPBDP algorithm, which is a non-linear 0-1 Integer Programming problem solver based on Davis-Putnam method, worked generally well for our problem formulation. The experiment result showed various performance characteristics depending on the types of decision variables, variable navigation methods and ocher algorithm parameters, and indicates the need of further study on the exploitation of the general purpose optimization techniques for the optimization problems in database area.

• Language and Information
• /
• v.8 no.2
• /
• pp.113-130
• /
• 2004

In a prevailing view of meaning and reference (cf. Frege 1892), words pick out entities in the physical world by virtue of meaning. Linguists and philosophers have argued whether the meaning of a word is inside or out-side language users' mind; but, in general, they have taken it for granted that words refer to entities in the physical world. Hilary Putnam (1975), based on his famous twin-earth thought experiment, argued that the meaning of a word could not be inside language users' head. In this paper, I point out that Putnam's argument makes sense only if words refer to entities in the physical world. That is, Putnam did not provide any argument against mentalistic semantics, since he erroneously assumed that meaning, but not reference, was inside our mind in mentalistic semantics. Mentalistic semanticist, however, assume that words pick out their references inside our head (instead of a possible outside world). A number of arguments for the mentalistic position come from psychology: studies on emotion and visual perception provide numerous cases where words cannot pick out entities from the physical world, but inside our head. The mentalistic theory has desirable consequences for the philosophy of language in that some classical puzzles of language (e.g. Russell's (1919) well-known puzzle of excluded middle) are explained well in the proposed theory.